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101971431696 = 2432124404827
BaseRepresentation
bin101111011110111111…
…0001001000100010000
3100202012120020110010110
41132331332021010100
53132314141303241
6114502305401320
710236642603531
oct1367576110420
9322176213113
10101971431696
113a27823a9a2
121791a039240
139801093684
144d14c00688
1529bc357816
hex17bdf89110

101971431696 has 20 divisors (see below), whose sum is σ = 263426198672. Its totient is φ = 33990477216.

The previous prime is 101971431677. The next prime is 101971431697. The reversal of 101971431696 is 696134179101.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2124404827 = 101971431696 / (1 + 0 + 1 + 9 + 7 + 1 + 4 + 3 + 1 + 6 + 9 + 6).

It is not an unprimeable number, because it can be changed into a prime (101971431697) 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 3 ways as a sum of consecutive naturals, for example, 1062202366 + ... + 1062202461.

Almost surely, 2101971431696 is an apocalyptic number.

101971431696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101971431696 is an abundant number, since it is smaller than the sum of its proper divisors (161454766976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101971431696 is a wasteful number, since it uses less digits than its factorization.

101971431696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124404838 (or 2124404832 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The spelling of 101971431696 in words is "one hundred one billion, nine hundred seventy-one million, four hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 2124404827 4248809654 6373214481 8497619308 12746428962 16995238616 25492857924 33990477232 50985715848 101971431696