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31002023133 = 338314539521
BaseRepresentation
bin11100110111110111…
…010101010011011101
32222000120202221201000
4130313313111103131
51001443004220013
622124144540513
72145154564044
oct346767252335
988016687630
1031002023133
1112169919924
126012621739
132c00b600b3
14170156155b
15c16aa9973
hex737dd54dd

31002023133 has 32 divisors (see below), whose sum is σ = 46519159680. Its totient is φ = 20402807040.

The previous prime is 31002023099. The next prime is 31002023137. The reversal of 31002023133 is 33132020013.

It is a de Polignac number, because none of the positive numbers 2k-31002023133 is a prime.

It is a super-2 number, since 2×310020231332 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002023137) 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, 3251413 + ... + 3260933.

It is an arithmetic number, because the mean of its divisors is an integer number (1453723740).

Almost surely, 231002023133 is an apocalyptic number.

It is an amenable number.

31002023133 is a deficient number, since it is larger than the sum of its proper divisors (15517136547).

31002023133 is a wasteful number, since it uses less digits than its factorization.

31002023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11066 (or 11060 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 31002023133 its reverse (33132020013), we get a palindrome (64134043146).

The spelling of 31002023133 in words is "thirty-one billion, two million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 3 9 27 83 249 747 1453 2241 4359 9521 13077 28563 39231 85689 120599 257067 361797 790243 1085391 2370729 3256173 7112187 13834013 21336561 41502039 124506117 373518351 1148223079 3444669237 10334007711 31002023133