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212201202011022 = 238712718190559
BaseRepresentation
bin110000001111111011110001…
…010001000100101110001110
31000211100020101121210100000000
4300033323301101010232032
5210303201030203323042
62031151515244545130
762461013414236410
oct6017736121045616
91024306347710000
10212201202011022
116168302a508a94
121b9720212521a6
139153645017553
143a588431b89b0
15197ec90c1a74c
hexc0fef1444b8e

212201202011022 has 144 divisors (see below), whose sum is σ = 549928860549120. Its totient is φ = 60151518523152.

The previous prime is 212201202010969. The next prime is 212201202011039. The reversal of 212201202011022 is 220110202102212.

It is a happy number.

212201202011022 is a `hidden beast` number, since 21 + 220 + 120 + 201 + 102 + 2 = 666.

212201202011022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2122012020110223 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212201202010986 and 212201202011004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2570179 + ... + 20760737.

It is an arithmetic number, because the mean of its divisors is an integer number (3818950420480).

Almost surely, 2212201202011022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201202011022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274964430274560).

212201202011022 is an abundant number, since it is smaller than the sum of its proper divisors (337727658538098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212201202011022 is an equidigital number, since it uses as much as digits as its factorization.

212201202011022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18190719 (or 18190698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212201202011022 its reverse (220110202102212), we get a palindrome (432311404113234).

The spelling of 212201202011022 in words is "two hundred twelve trillion, two hundred one billion, two hundred two million, eleven thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 127 162 189 243 254 378 381 486 567 729 762 889 1134 1143 1458 1701 1778 2187 2286 2667 3402 3429 4374 5103 5334 6561 6858 8001 10206 10287 13122 15309 16002 20574 24003 30618 30861 45927 48006 61722 72009 91854 92583 144018 185166 216027 277749 432054 555498 648081 833247 1296162 1666494 1944243 3888486 5832729 11665458 18190559 36381118 54571677 109143354 127333913 163715031 254667826 327430062 382001739 491145093 764003478 982290186 1146005217 1473435279 2292010434 2310200993 2946870558 3438015651 4420305837 4620401986 6876031302 6930602979 8840611674 10314046953 13260917511 13861205958 16171406951 20628093906 20791808937 26521835022 30942140859 32342813902 39782752533 41583617874 48514220853 61884281718 62375426811 79565505066 92826422577 97028441706 119348257599 124750853622 145542662559 185652845154 187126280433 238696515198 278479267731 291085325118 374252560866 436627987677 556958535462 561378841299 835437803193 873255975354 1122757682598 1309883963031 1670875606386 1684136523897 2619767926062 3368273047794 3929651889093 5052409571691 7859303778186 10104819143382 11788955667279 15157228715073 23577911334558 30314457430146 35366867001837 70733734003674 106100601005511 212201202011022