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101893929087 = 31939721132131
BaseRepresentation
bin101111011100101011…
…0011111100001111111
3100202000011101220112110
41132321112133201333
53132134321212322
6114450500305103
710235012051436
oct1367126374177
9322004356473
10101893929087
113a238515055
12178b80a2193
1397bacc8c42
144d087c811d
1529b5648c0c
hex17b959f87f

101893929087 has 32 divisors (see below), whose sum is σ = 143504408320. Its totient is φ = 64131471360.

The previous prime is 101893929079. The next prime is 101893929091. The reversal of 101893929087 is 780929398101.

It is not a de Polignac number, because 101893929087 - 23 = 101893929079 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101893929287) 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, 47814012 + ... + 47816142.

It is an arithmetic number, because the mean of its divisors is an integer number (4484512760).

Almost surely, 2101893929087 is an apocalyptic number.

101893929087 is a deficient number, since it is larger than the sum of its proper divisors (41610479233).

101893929087 is a wasteful number, since it uses less digits than its factorization.

101893929087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4663.

The product of its (nonzero) digits is 1959552, while the sum is 57.

The spelling of 101893929087 in words is "one hundred one billion, eight hundred ninety-three million, nine hundred twenty-nine thousand, eighty-seven".

Divisors: 1 3 19 57 397 1191 2113 2131 6339 6393 7543 22629 40147 40489 120441 121467 838861 846007 2516583 2538021 4502803 13508409 15938359 16074133 47815077 48222399 85553257 256659771 1787612791 5362838373 33964643029 101893929087