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42516311031 = 32193234710429
BaseRepresentation
bin100111100110001010…
…110110101111110111
311001202000221101022100
4213212022312233313
51144033133423111
631310504033143
73033410452365
oct474612665767
9131660841270
1042516311031
1117038392837
1282a67627b3
1340174a2cbc
1420b4866635
15118c885756
hex9e62b6bf7

42516311031 has 24 divisors (see below), whose sum is σ = 61762872080. Its totient is φ = 28182629376.

The previous prime is 42516311029. The next prime is 42516311099. The reversal of 42516311031 is 13011361524.

It is a happy number.

42516311031 is a `hidden beast` number, since 4 + 2 + 516 + 3 + 110 + 31 = 666.

It is not a de Polignac number, because 42516311031 - 21 = 42516311029 is a prime.

It is a super-2 number, since 2×425163110312 (a number of 22 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 = 42516310986 and 42516311004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42516311231) 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 23 ways as a sum of consecutive naturals, for example, 4071525 + ... + 4081953.

Almost surely, 242516311031 is an apocalyptic number.

42516311031 is a deficient number, since it is larger than the sum of its proper divisors (19246561049).

42516311031 is a wasteful number, since it uses less digits than its factorization.

42516311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12975 (or 12972 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 42516311031 its reverse (13011361524), we get a palindrome (55527672555).

The spelling of 42516311031 in words is "forty-two billion, five hundred sixteen million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 9 193 579 1737 2347 7041 10429 21123 31287 93861 452971 1358913 2012797 4076739 6038391 18115173 24476863 73430589 220291767 4724034559 14172103677 42516311031