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42031010414131 = 1923738914803879
BaseRepresentation
bin10011000111010000110110…
…11100011111111000110011
312111211010101101100010021021
421203220123130133320303
521002114002131223011
6225220440222040311
711565432422524324
oct1143503334377063
9174733341303237
1042031010414131
11124352846a5a92
124869a84419097
131a5b6796392bb
14a5445167244b
154cd4ca3b0471
hex263a1b71fe33

42031010414131 has 32 divisors (see below), whose sum is σ = 47325043584000. Its totient is φ = 37143758919168.

The previous prime is 42031010414123. The next prime is 42031010414137. The reversal of 42031010414131 is 13141401013024.

It is a cyclic number.

It is not a de Polignac number, because 42031010414131 - 23 = 42031010414123 is a prime.

It is a super-2 number, since 2×420310104141312 (a number of 28 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 = 42031010414096 and 42031010414105.

It is not an unprimeable number, because it can be changed into a prime (42031010414137) 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, 4562751 + ... + 10241128.

It is an arithmetic number, because the mean of its divisors is an integer number (1478907612000).

Almost surely, 242031010414131 is an apocalyptic number.

42031010414131 is a deficient number, since it is larger than the sum of its proper divisors (5294033169869).

42031010414131 is a wasteful number, since it uses less digits than its factorization.

42031010414131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804083.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 42031010414131 its reverse (13141401013024), we get a palindrome (55172411427155).

The spelling of 42031010414131 in words is "forty-two trillion, thirty-one billion, ten million, four hundred fourteen thousand, one hundred thirty-one".

Divisors: 1 19 23 73 89 437 1387 1679 1691 2047 6497 31901 38893 123443 149431 2839189 14803879 281273701 340489217 1080683167 1317545231 6469295123 20532980173 24855712841 25033359389 30303540313 96180801863 472258543979 575767265947 1827435235397 2212158442849 42031010414131