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102033031431 = 31910716729469
BaseRepresentation
bin101111100000110100…
…1001000000100000111
3100202100212011001002010
41133001221020010013
53132430424001211
6114512345545303
710241321312562
oct1370151100407
9322325131063
10102033031431
113a2a9a93771
12179367a5233
139810a80816
144d1d0774d9
1529c29744a6
hex17c1a48107

102033031431 has 16 divisors (see below), whose sum is σ = 144542620800. Its totient is φ = 63839649888.

The previous prime is 102033031427. The next prime is 102033031433. The reversal of 102033031431 is 134130330201.

It is not a de Polignac number, because 102033031431 - 22 = 102033031427 is a prime.

It is a super-2 number, since 2×1020330314312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102033031398 and 102033031407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102033031433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358636 + ... + 8370833.

It is an arithmetic number, because the mean of its divisors is an integer number (9033913800).

Almost surely, 2102033031431 is an apocalyptic number.

102033031431 is a deficient number, since it is larger than the sum of its proper divisors (42509589369).

102033031431 is a wasteful number, since it uses less digits than its factorization.

102033031431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16729598.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102033031431 its reverse (134130330201), we get a palindrome (236163361632).

The spelling of 102033031431 in words is "one hundred two billion, thirty-three million, thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 19 57 107 321 2033 6099 16729469 50188407 317859911 953579733 1790053183 5370159549 34011010477 102033031431