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101110013231 is a prime number
BaseRepresentation
bin101111000101010100…
…0000101110100101111
3100122222112022212010212
41132022220011310233
53124033130410411
6114241014253035
710206412634453
oct1361250056457
9318875285125
10101110013231
1139975a6a507
121771965717b
1396c4787cc6
144c72648663
15296b8ec68b
hex178aa05d2f

101110013231 has 2 divisors, whose sum is σ = 101110013232. Its totient is φ = 101110013230.

The previous prime is 101110013201. The next prime is 101110013233. The reversal of 101110013231 is 132310011101.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 101110013231 - 218 = 101109751087 is a prime.

It is a super-2 number, since 2×1011100132312 (a number of 23 digits) contains 22 as substring.

Together with 101110013233, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101110013233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50555006615 + 50555006616.

It is an arithmetic number, because the mean of its divisors is an integer number (50555006616).

Almost surely, 2101110013231 is an apocalyptic number.

101110013231 is a deficient number, since it is larger than the sum of its proper divisors (1).

101110013231 is an equidigital number, since it uses as much as digits as its factorization.

101110013231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101110013231 its reverse (132310011101), we get a palindrome (233420024332).

The spelling of 101110013231 in words is "one hundred one billion, one hundred ten million, thirteen thousand, two hundred thirty-one".