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210110011122 = 231119695924077
BaseRepresentation
bin1100001110101110001…
…0000101011011110010
3202002022221001110111210
43003223202011123302
511420301130323442
6240305002420550
721115502425044
oct3035342053362
9662287043453
10210110011122
118111a6951a0
1234879501756
1316a75a46a8b
14a252abda94
1556ead1319c
hex30eb8856f2

210110011122 has 64 divisors (see below), whose sum is σ = 482638694400. Its totient is φ = 60307490880.

The previous prime is 210110011087. The next prime is 210110011219. The reversal of 210110011122 is 221110011012.

210110011122 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210110011098 and 210110011107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8714548 + ... + 8738624.

It is an arithmetic number, because the mean of its divisors is an integer number (7541229600).

Almost surely, 2210110011122 is an apocalyptic number.

210110011122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210110011122 is an abundant number, since it is smaller than the sum of its proper divisors (272528683278).

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

210110011122 is a wasteful number, since it uses less digits than its factorization.

210110011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31071.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210110011122 its reverse (221110011012), we get a palindrome (431220022134).

The spelling of 210110011122 in words is "two hundred ten billion, one hundred ten million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 6959 13918 20877 24077 41754 48154 72231 76549 132221 144462 153098 229647 264442 264847 396663 457463 459294 529694 793326 794541 914926 1372389 1454431 1589082 2744778 2908862 4363293 5032093 8726586 10064186 15096279 30192558 167551843 335103686 502655529 1005311058 1843070273 3183485017 3686140546 5529210819 6366970034 9550455051 11058421638 19100910102 35018335187 70036670374 105055005561 210110011122