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213122011102 = 2721113127711909
BaseRepresentation
bin1100011001111100001…
…1111100111111011110
3202101002211122220201121
43012133003330333132
511442433213323402
6241523520201154
721253235130100
oct3063703747736
9671084586647
10213122011102
1182425901380
123537a1691ba
1317135a702a0
14a45ab2b570
155825477837
hex319f0fcfde

213122011102 has 96 divisors (see below), whose sum is σ = 437268313440. Its totient is φ = 76580824320.

The previous prime is 213122011087. The next prime is 213122011127. The reversal of 213122011102 is 201110221312.

It is a super-2 number, since 2×2131220111022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17889924 + ... + 17901832.

It is an arithmetic number, because the mean of its divisors is an integer number (4554878265).

Almost surely, 2213122011102 is an apocalyptic number.

213122011102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213122011102 is an abundant number, since it is smaller than the sum of its proper divisors (224146302338).

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

213122011102 is a wasteful number, since it uses less digits than its factorization.

213122011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13226 (or 13219 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 213122011102 its reverse (201110221312), we get a palindrome (414232232414).

The spelling of 213122011102 in words is "two hundred thirteen billion, one hundred twenty-two million, eleven thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 182 286 539 637 1001 1078 1274 1277 2002 2554 7007 8939 11909 14014 14047 16601 17878 23818 28094 33202 62573 83363 98329 116207 125146 130999 154817 166726 182611 196658 232414 261998 309634 365222 583541 688303 813449 916993 1083719 1167082 1278277 1376606 1626898 1702987 1833986 2167438 2556554 3405974 6418951 7586033 8947939 11920909 12837902 15172066 15207793 17895878 23841818 30415586 83446363 106454551 166892726 167285723 197701309 212909102 334571446 395402618 745181857 1171000061 1383909163 1490363714 2174714399 2342000122 2767818326 4349428798 8197000427 9687364141 15223000793 16394000854 19374728282 30446001586 106561005551 213122011102