Search a number
-
+
2201102000220 = 2235674431235977
BaseRepresentation
bin100000000001111011111…
…001110010000001011100
321210102102120201221120110
4200001323321302001130
5242030324103001340
64403101114450020
7315011234205504
oct40017371620134
97712376657513
102201102000220
11779533773072
122b6708733910
1312c741c84786
1478769070a04
153c3c8080680
hex2007be7205c

2201102000220 has 96 divisors (see below), whose sum is σ = 6269196826368. Its totient is φ = 576894269952.

The previous prime is 2201102000173. The next prime is 2201102000231. The reversal of 2201102000220 is 220002011022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2201102000196 and 2201102000205.

It is a congruent number.

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, 1162872 + ... + 2398848.

It is an arithmetic number, because the mean of its divisors is an integer number (65304133608).

Almost surely, 22201102000220 is an apocalyptic number.

2201102000220 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 2201102000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134598413184).

2201102000220 is an abundant number, since it is smaller than the sum of its proper divisors (4068094826148).

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

2201102000220 is a wasteful number, since it uses less digits than its factorization.

2201102000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236499 (or 1236497 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2201102000220 its reverse (220002011022), we get a palindrome (2421104011242).

The spelling of 2201102000220 in words is "two trillion, two hundred one billion, one hundred two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 443 670 804 886 1005 1329 1340 1772 2010 2215 2658 4020 4430 5316 6645 8860 13290 26580 29681 59362 89043 118724 148405 178086 296810 356172 445215 593620 890430 1235977 1780860 2471954 3707931 4943908 6179885 7415862 12359770 14831724 18539655 24719540 37079310 74158620 82810459 165620918 248431377 331241836 414052295 496862754 547537811 828104590 993725508 1095075622 1242156885 1642613433 1656209180 2190151244 2484313770 2737689055 3285226866 4968627540 5475378110 6570453732 8213067165 10950756220 16426134330 32852268660 36685033337 73370066674 110055100011 146740133348 183425166685 220110200022 366850333370 440220400044 550275500055 733700666740 1100551000110 2201102000220