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103406442251 = 71916719312411
BaseRepresentation
bin110000001001110000…
…0010001011100001011
3100212220120110112112112
41200103200101130023
53143234022123001
6115300530532535
710320336154010
oct1402340213413
9325816415475
10103406442251
113a944271632
121805a73714b
13999c47c948
14500d627707
152a53315cbb
hex181381170b

103406442251 has 32 divisors (see below), whose sum is σ = 125260369920. Its totient is φ = 83388506400.

The previous prime is 103406442203. The next prime is 103406442257. The reversal of 103406442251 is 152244604301.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103406442251 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103406442257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42888236 + ... + 42890646.

It is an arithmetic number, because the mean of its divisors is an integer number (3914386560).

Almost surely, 2103406442251 is an apocalyptic number.

103406442251 is a deficient number, since it is larger than the sum of its proper divisors (21853927669).

103406442251 is a wasteful number, since it uses less digits than its factorization.

103406442251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4535.

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 103406442251 in words is "one hundred three billion, four hundred six million, four hundred forty-two thousand, two hundred fifty-one".

Divisors: 1 7 19 133 167 1169 1931 2411 3173 13517 16877 22211 36689 45809 256823 320663 322477 402637 2257339 2818459 4655641 6127063 7650103 32589487 42889441 53550721 88457179 619200253 777492047 5442444329 14772348893 103406442251