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110131031131 = 1121204375577
BaseRepresentation
bin110011010010001010…
…0100010110001011011
3101112021012222001021221
41212210110202301123
53301022020444011
6122332110112511
710646102214262
oct1464424426133
9345235861257
10110131031131
1142785106800
12194167ab737
13a5016b6b14
14548a7715d9
152ce887b971
hex19a4522c5b

110131031131 has 12 divisors (see below), whose sum is σ = 121064770456. Its totient is φ = 100109481120.

The previous prime is 110131031041. The next prime is 110131031137. The reversal of 110131031131 is 131130131011.

It is not a de Polignac number, because 110131031131 - 211 = 110131029083 is a prime.

It is a super-2 number, since 2×1101310311312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110131031137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1419415 + ... + 1494991.

Almost surely, 2110131031131 is an apocalyptic number.

110131031131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110131031131 is a deficient number, since it is larger than the sum of its proper divisors (10933739325).

110131031131 is a wasteful number, since it uses less digits than its factorization.

110131031131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87642 (or 87631 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 110131031131 its reverse (131130131011), we get a palindrome (241261162142).

The spelling of 110131031131 in words is "one hundred ten billion, one hundred thirty-one million, thirty-one thousand, one hundred thirty-one".

Divisors: 1 11 121 12043 75577 132473 831347 1457203 9144817 910173811 10011911921 110131031131