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212120202210020 = 225132932298712497
BaseRepresentation
bin110000001110110000010101…
…010011010110101011100100
31000211001111022121101002212022
4300032300111103112223210
5210300334133231210040
62031050401534042312
762452115232263156
oct6016602523265344
91024044277332768
10212120202210020
1161651744204695
121b95a396649398
139148b06a15010
143a5495b744ad6
15197caeeaa96b5
hexc0ec154d6ae4

212120202210020 has 96 divisors (see below), whose sum is σ = 496413741045600. Its totient is φ = 75597142892544.

The previous prime is 212120202210011. The next prime is 212120202210089. The reversal of 212120202210020 is 20012202021212.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 28918130043364 + 183202072166656 = 5377558^2 + 13535216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19990412 + ... + 28702908.

It is an arithmetic number, because the mean of its divisors is an integer number (5170976469225).

Almost surely, 2212120202210020 is an apocalyptic number.

212120202210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212120202210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248206870522800).

212120202210020 is an abundant number, since it is smaller than the sum of its proper divisors (284293538835580).

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

212120202210020 is a wasteful number, since it uses less digits than its factorization.

212120202210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8715777 (or 8715775 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212120202210020 its reverse (20012202021212), we get a palindrome (232132404231232).

The spelling of 212120202210020 in words is "two hundred twelve trillion, one hundred twenty billion, two hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 29 52 58 65 116 130 145 260 290 377 580 754 1508 1885 3229 3770 6458 7540 12916 16145 32290 41977 64580 83954 93641 167908 187282 209885 374564 419770 468205 839540 936410 1217333 1872820 2434666 4869332 6086665 8712497 12173330 17424994 24346660 34849988 43562485 87124970 113262461 174249940 226524922 252662413 453049844 505324826 566312305 1010649652 1132624610 1263312065 2265249220 2526624130 3284611369 5053248260 6569222738 13138445476 16423056845 28132652813 32846113690 56265305626 65692227380 112530611252 140663264065 281326528130 365724486569 562653056260 731448973138 815846931577 1462897946276 1631693863154 1828622432845 3263387726308 3657244865690 4079234657885 7314489731380 8158469315770 10606010110501 16316938631540 21212020221002 42424040442004 53030050552505 106060101105010 212120202210020