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101112233131 = 7131111123441
BaseRepresentation
bin101111000101011000…
…0100011110010101011
3100122222200111122021101
41132022300203302223
53124034212430011
6114241134022231
710206440541460
oct1361260436253
9318880448241
10101112233131
1139977246338
121771a347977
1396c5084560
144c72a65667
15296bbda2c1
hex178ac23cab

101112233131 has 8 divisors (see below), whose sum is σ = 124445825504. Its totient is φ = 80000887680.

The previous prime is 101112233111. The next prime is 101112233147. The reversal of 101112233131 is 131332211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 101112233131 - 27 = 101112233003 is a prime.

It is a super-2 number, since 2×1011122331312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101112233099 and 101112233108.

It is not an unprimeable number, because it can be changed into a prime (101112233111) 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 in 7 ways as a sum of consecutive naturals, for example, 555561630 + ... + 555561811.

It is an arithmetic number, because the mean of its divisors is an integer number (15555728188).

Almost surely, 2101112233131 is an apocalyptic number.

101112233131 is a deficient number, since it is larger than the sum of its proper divisors (23333592373).

101112233131 is a wasteful number, since it uses less digits than its factorization.

101112233131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111123461.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101112233131 its reverse (131332211101), we get a palindrome (232444444232).

The spelling of 101112233131 in words is "one hundred one billion, one hundred twelve million, two hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 7 13 91 1111123441 7777864087 14444604733 101112233131