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101322340431 = 3132801927529
BaseRepresentation
bin101111001011101001…
…0000011100001001111
3100200112022212012022020
41132113102003201033
53130002004343211
6114314041221223
710214601453264
oct1362722034117
9320468765266
10101322340431
1139a74902034
1217778791813
13972976a1c0
144c9291926b
15298038e306
hex179748384f

101322340431 has 16 divisors (see below), whose sum is σ = 145540587360. Its totient is φ = 62329881600.

The previous prime is 101322340423. The next prime is 101322340447. The reversal of 101322340431 is 134043223101.

It is a happy number.

It is not a de Polignac number, because 101322340431 - 23 = 101322340423 is a prime.

It is a super-2 number, since 2×1013223404312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101322340451) 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 15 ways as a sum of consecutive naturals, for example, 354526 + ... + 573003.

It is an arithmetic number, because the mean of its divisors is an integer number (9096286710).

Almost surely, 2101322340431 is an apocalyptic number.

101322340431 is a deficient number, since it is larger than the sum of its proper divisors (44218246929).

101322340431 is a wasteful number, since it uses less digits than its factorization.

101322340431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930346.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 101322340431 its reverse (134043223101), we get a palindrome (235365563532).

The spelling of 101322340431 in words is "one hundred one billion, three hundred twenty-two million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 13 39 2801 8403 36413 109239 927529 2782587 12057877 36173631 2598008729 7794026187 33774113477 101322340431