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102140303031 = 32131137725611
BaseRepresentation
bin101111100100000001…
…0010101011010110111
3100202122100000000001100
41133020002111122313
53133140404144111
6114531141101143
710244063152014
oct1371002253267
9322570000040
10102140303031
113a3545a1488
12179666b77b3
13982a06c040
144d2d3dc70b
1529cc0b3756
hex17c80956b7

102140303031 has 24 divisors (see below), whose sum is σ = 160290997776. Its totient is φ = 62299319040.

The previous prime is 102140303021. The next prime is 102140303033. The reversal of 102140303031 is 130303041201.

It is not a de Polignac number, because 102140303031 - 27 = 102140302903 is a prime.

It is a super-2 number, since 2×1021403030312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102140302995 and 102140303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102140303033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3849585 + ... + 3876026.

It is an arithmetic number, because the mean of its divisors is an integer number (6678791574).

Almost surely, 2102140303031 is an apocalyptic number.

102140303031 is a deficient number, since it is larger than the sum of its proper divisors (58150694745).

102140303031 is a wasteful number, since it uses less digits than its factorization.

102140303031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7725743 (or 7725740 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102140303031 its reverse (130303041201), we get a palindrome (232443344232).

The spelling of 102140303031 in words is "one hundred two billion, one hundred forty million, three hundred three thousand, thirty-one".

Divisors: 1 3 9 13 39 113 117 339 1017 1469 4407 13221 7725611 23176833 69530499 100432943 301298829 872994043 903896487 2618982129 7856946387 11348922559 34046767677 102140303031