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107053575681 = 31331109381013
BaseRepresentation
bin110001110110011100…
…0111110111000000001
3101020022202012010001110
41203230320332320001
53223221203410211
6121102453353533
710506613244043
oct1435470767001
9336282163043
10107053575681
1141445a52998
12188b80388a9
13a130c53470
145277b65a93
152bb85d7ea6
hex18ece3ee01

107053575681 has 32 divisors (see below), whose sum is σ = 158823734272. Its totient is φ = 63694874880.

The previous prime is 107053575667. The next prime is 107053575709. The reversal of 107053575681 is 186575350701.

It is not a de Polignac number, because 107053575681 - 215 = 107053542913 is a prime.

It is a super-2 number, since 2×1070535756812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107053575681.

It is not an unprimeable number, because it can be changed into a prime (107053575611) 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 31 ways as a sum of consecutive naturals, for example, 1280931 + ... + 1361943.

It is an arithmetic number, because the mean of its divisors is an integer number (4963241696).

Almost surely, 2107053575681 is an apocalyptic number.

It is an amenable number.

107053575681 is a deficient number, since it is larger than the sum of its proper divisors (51770158591).

107053575681 is a wasteful number, since it uses less digits than its factorization.

107053575681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82153.

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 107053575681 in words is "one hundred seven billion, fifty-three million, five hundred seventy-five thousand, six hundred eighty-one".

Divisors: 1 3 13 31 39 93 403 1093 1209 3279 14209 33883 42627 81013 101649 243039 440479 1053169 1321437 2511403 3159507 7534209 32648239 88547209 97944717 265641627 1151113717 2744963479 3453341151 8234890437 35684525227 107053575681