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113212321321 = 11172922991163
BaseRepresentation
bin110100101101111111…
…0101110111000101001
3101211012221221210210211
41221123332232320221
53323324323240241
6124001540541121
711115335565511
oct1513376567051
9354187853724
10113212321321
1144016449720
1219b366b17a1
13a8a2b90a58
14569da98841
152e2912b781
hex1a5bfaee29

113212321321 has 32 divisors (see below), whose sum is σ = 135870825600. Its totient is φ = 93116513280.

The previous prime is 113212321267. The next prime is 113212321331. The reversal of 113212321321 is 123123212311.

It is a cyclic number.

It is not a de Polignac number, because 113212321321 - 213 = 113212313129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113212321292 and 113212321301.

It is not an unprimeable number, because it can be changed into a prime (113212321331) 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 31 ways as a sum of consecutive naturals, for example, 1196286 + ... + 1287448.

It is an arithmetic number, because the mean of its divisors is an integer number (4245963300).

Almost surely, 2113212321321 is an apocalyptic number.

113212321321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113212321321 is a deficient number, since it is larger than the sum of its proper divisors (22658504279).

113212321321 is a wasteful number, since it uses less digits than its factorization.

113212321321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91449.

The product of its digits is 432, while the sum is 22.

Adding to 113212321321 its reverse (123123212311), we get a palindrome (236335533632).

The spelling of 113212321321 in words is "one hundred thirteen billion, two hundred twelve million, three hundred twenty-one thousand, three hundred twenty-one".

Divisors: 1 11 17 29 187 229 319 493 2519 3893 5423 6641 42823 73051 91163 112897 1002793 1241867 1549771 2643727 17047481 20876327 29080997 44943359 229639597 354897559 494376949 605413483 3903873149 6659548313 10292029211 113212321321