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212122130111331 = 31126324440849189
BaseRepresentation
bin110000001110110010001000…
…001101101101101101100011
31000211001200021222001122021120
4300032302020031231231203
5210300402110302030311
62031051321123423323
762452214062210536
oct6016621015555543
91024050258048246
10212122130111331
1161652543487460
121b95a834224b43
13914905326751b
143a54aa17d2a1d
15197cbb3e79706
hexc0ec8836db63

212122130111331 has 16 divisors (see below), whose sum is σ = 309714440935680. Its totient is φ = 128070049745120.

The previous prime is 212122130111321. The next prime is 212122130111351. The reversal of 212122130111331 is 133111031221212.

It is a cyclic number.

It is not a de Polignac number, because 212122130111331 - 213 = 212122130103139 is a prime.

It is a super-2 number, since 2×2121221301113312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212122130111321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12220415916 + ... + 12220433273.

It is an arithmetic number, because the mean of its divisors is an integer number (19357152558480).

Almost surely, 2212122130111331 is an apocalyptic number.

212122130111331 is a deficient number, since it is larger than the sum of its proper divisors (97592310824349).

212122130111331 is a wasteful number, since it uses less digits than its factorization.

212122130111331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24440849466.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 212122130111331 its reverse (133111031221212), we get a palindrome (345233161332543).

The spelling of 212122130111331 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred thirty million, one hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 11 33 263 789 2893 8679 24440849189 73322547567 268849341079 806548023237 6427943336707 19283830010121 70707376703777 212122130111331