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101232031120031 = 7611093856956393
BaseRepresentation
bin10111000001000111101011…
…010000010011101010011111
3111021102200120022020010112002
4113001013223100103222133
5101232041144431320111
6555145204133232515
730215526046651010
oct2701075320235237
9437380508203462
10101232031120031
112a28a2994a9899
12b42b54249273b
1344641a7847ac6
141add929421007
15ba842659263b
hex5c11eb413a9f

101232031120031 has 32 divisors (see below), whose sum is σ = 118674360604800. Its totient is φ = 84561148385280.

The previous prime is 101232031120001. The next prime is 101232031120093. The reversal of 101232031120031 is 130021130232101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-101232031120031 is a prime.

It is a super-2 number, since 2×1012320311200312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101232031119985 and 101232031120012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101232031120001) 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, 1795088771 + ... + 1795145163.

It is an arithmetic number, because the mean of its divisors is an integer number (3708573768900).

Almost surely, 2101232031120031 is an apocalyptic number.

101232031120031 is a deficient number, since it is larger than the sum of its proper divisors (17442329484769).

101232031120031 is a wasteful number, since it uses less digits than its factorization.

101232031120031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95139.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 101232031120031 its reverse (130021130232101), we get a palindrome (231253161352132).

The spelling of 101232031120031 in words is "one hundred one trillion, two hundred thirty-two billion, thirty-one million, one hundred twenty thousand, thirty-one".

Divisors: 1 7 61 109 427 763 6649 38569 46543 56393 269983 394751 2352709 3439973 4204021 6146837 16468963 24079811 29428147 43027859 256445281 374957057 1795116967 2175021617 2624699399 15225151319 132676318637 237077356253 928734230459 1659541493771 14461718731433 101232031120031