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100052131312 = 2471947016979
BaseRepresentation
bin101110100101110010…
…0100101110111110000
3100120020210201212222001
41131023210211313300
53114401321200222
6113544024223344
710141246040560
oct1351344456760
9316223655861
10100052131312
1139482902131
121748330ab54
139586562c83
144bb1d50da0
152908ad5e27
hex174b925df0

100052131312 has 40 divisors (see below), whose sum is σ = 233204220800. Its totient is φ = 40622668992.

The previous prime is 100052131247. The next prime is 100052131327. The reversal of 100052131312 is 213131250001.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 100052131312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23506362 + ... + 23510617.

It is an arithmetic number, because the mean of its divisors is an integer number (5830105520).

Almost surely, 2100052131312 is an apocalyptic number.

It is an amenable number.

100052131312 is an abundant number, since it is smaller than the sum of its proper divisors (133152089488).

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

100052131312 is a wasteful number, since it uses less digits than its factorization.

100052131312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47017013 (or 47017007 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 100052131312 its reverse (213131250001), we get a palindrome (313183381313).

The spelling of 100052131312 in words is "one hundred billion, fifty-two million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 47016979 94033958 188067916 329118853 376135832 658237706 752271664 893322601 1316475412 1786645202 2632950824 3573290404 5265901648 6253258207 7146580808 12506516414 14293161616 25013032828 50026065656 100052131312