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113321320431 = 31129118413083
BaseRepresentation
bin110100110001001111…
…0100001111111101111
3101211111120001112110220
41221202132201333233
53324040224223211
6124020433102423
711121131221254
oct1514236417757
9354446045426
10113321320431
1144071a27330
1219b670b7a13
13a8bc635677
1456b034d42b
152e339ac806
hex1a627a1fef

113321320431 has 16 divisors (see below), whose sum is σ = 170514840960. Its totient is φ = 66311325920.

The previous prime is 113321320429. The next prime is 113321320457. The reversal of 113321320431 is 134023123311.

It is a cyclic number.

It is not a de Polignac number, because 113321320431 - 21 = 113321320429 is a prime.

It is a super-2 number, since 2×1133213204312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113321320421) 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, 59205585 + ... + 59207498.

It is an arithmetic number, because the mean of its divisors is an integer number (10657177560).

Almost surely, 2113321320431 is an apocalyptic number.

113321320431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113321320431 is a deficient number, since it is larger than the sum of its proper divisors (57193520529).

113321320431 is a wasteful number, since it uses less digits than its factorization.

113321320431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118413126.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113321320431 its reverse (134023123311), we get a palindrome (247344443742).

The spelling of 113321320431 in words is "one hundred thirteen billion, three hundred twenty-one million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 11 29 33 87 319 957 118413083 355239249 1302543913 3433979407 3907631739 10301938221 37773773477 113321320431