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102031130232131 = 8771409165749831
BaseRepresentation
bin10111001100101111111001…
…010001100000010101000011
3111101021002011220012000122012
4113030233321101200111003
5101333134223314412011
61001000242032403135
730330335344225502
oct2714577121402503
9441232156160565
10102031130232131
112a568183085131
12b53a3970a64ab
1344c1656c798c9
141b2a493c78839
15bbe0e572ea8b
hex5ccbf9460543

102031130232131 has 16 divisors (see below), whose sum is σ = 102283710098880. Its totient is φ = 101778953379840.

The previous prime is 102031130232067. The next prime is 102031130232221. The reversal of 102031130232131 is 131232031130201.

It is a cyclic number.

It is not a de Polignac number, because 102031130232131 - 26 = 102031130232067 is a prime.

It is a super-2 number, since 2×1020311302321312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102031130232097 and 102031130232106.

It is not an unprimeable number, because it can be changed into a prime (102031130232631) 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, 2047518386 + ... + 2047568216.

It is an arithmetic number, because the mean of its divisors is an integer number (6392731881180).

Almost surely, 2102031130232131 is an apocalyptic number.

102031130232131 is a deficient number, since it is larger than the sum of its proper divisors (252579866749).

102031130232131 is a wasteful number, since it uses less digits than its factorization.

102031130232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53774.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 102031130232131 its reverse (131232031130201), we get a palindrome (233263161362332).

The spelling of 102031130232131 in words is "one hundred two trillion, thirty-one billion, one hundred thirty million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 877 1409 1657 49831 1235693 1453189 2334713 43701787 70211879 82569967 2047543301 61575817883 72413861059 116341083503 102031130232131