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102030232131 = 32307110333479
BaseRepresentation
bin101111100000101111…
…0011100101001000011
3100202100122212211011100
41133001132130221003
53132424214412011
6114512205545443
710241255443422
oct1370136345103
9322318784140
10102030232131
113a2a84515a3
1217935875283
139810310629
144d1c9492b9
1529c25bed56
hex17c179ca43

102030232131 has 24 divisors (see below), whose sum is σ = 147995527680. Its totient is φ = 67735100016.

The previous prime is 102030232091. The next prime is 102030232151. The reversal of 102030232131 is 131232030201.

102030232131 is a `hidden beast` number, since 10 + 2 + 0 + 302 + 321 + 31 = 666.

It is not a de Polignac number, because 102030232131 - 211 = 102030230083 is a prime.

It is a super-2 number, since 2×1020302321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102030232151) 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, 3030850 + ... + 3064328.

It is an arithmetic number, because the mean of its divisors is an integer number (6166480320).

Almost surely, 2102030232131 is an apocalyptic number.

102030232131 is a deficient number, since it is larger than the sum of its proper divisors (45965295549).

102030232131 is a wasteful number, since it uses less digits than its factorization.

102030232131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34895 (or 34892 counting only the distinct ones).

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

Adding to 102030232131 its reverse (131232030201), we get a palindrome (233262262332).

The spelling of 102030232131 in words is "one hundred two billion, thirty million, two hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 307 921 1103 2763 3309 9927 33479 100437 301311 338621 1015863 3047589 10278053 30834159 36927337 92502477 110782011 332346033 11336692459 34010077377 102030232131