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42102123131 = 1033593892927
BaseRepresentation
bin100111001101011110…
…110110101001111011
311000200011120110022202
4213031132312221323
51142211120420011
631201430340415
73020221066445
oct471536665173
9130604513282
1042102123131
1116945607292
1281ababa70b
133c7c7348c3
14207584b495
15116631d23b
hex9cd7b6a7b

42102123131 has 16 divisors (see below), whose sum is σ = 42753484800. Its totient is φ = 41456176608.

The previous prime is 42102123067. The next prime is 42102123137. The reversal of 42102123131 is 13132120124.

It is a cyclic number.

It is not a de Polignac number, because 42102123131 - 26 = 42102123067 is a prime.

It is a super-2 number, since 2×421021231312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42102123137) 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, 14382590 + ... + 14385516.

It is an arithmetic number, because the mean of its divisors is an integer number (2672092800).

Almost surely, 242102123131 is an apocalyptic number.

42102123131 is a deficient number, since it is larger than the sum of its proper divisors (651361669).

42102123131 is a wasteful number, since it uses less digits than its factorization.

42102123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 42102123131 its reverse (13132120124), we get a palindrome (55234243255).

The spelling of 42102123131 in words is "forty-two billion, one hundred two million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 103 359 389 2927 36977 40067 139651 301481 1050793 1138603 14384053 108231679 117276109 408758477 42102123131