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101312131132 = 221953127198047
BaseRepresentation
bin101111001011010101…
…1000111000000111100
3100200111121122111210001
41132112223013000330
53124441401144012
6114313034324044
710214415622462
oct1362653070074
9320447574701
10101312131132
1139a6a0696a3
1217775289624
1397276042b4
144c9141c832
15297e524357
hex1796ac703c

101312131132 has 48 divisors (see below), whose sum is σ = 191647088640. Its totient is φ = 46713506112.

The previous prime is 101312131117. The next prime is 101312131133. The reversal of 101312131132 is 231131213101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312131133) 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, 412533 + ... + 610579.

It is an arithmetic number, because the mean of its divisors is an integer number (3992647680).

Almost surely, 2101312131132 is an apocalyptic number.

It is an amenable number.

101312131132 is a deficient number, since it is larger than the sum of its proper divisors (90334957508).

101312131132 is a wasteful number, since it uses less digits than its factorization.

101312131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198250 (or 198248 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101312131132 its reverse (231131213101), we get a palindrome (332443344233).

The spelling of 101312131132 in words is "one hundred one billion, three hundred twelve million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 19 38 53 76 106 127 212 254 508 1007 2014 2413 4028 4826 6731 9652 13462 26924 127889 198047 255778 396094 511556 792188 3762893 7525786 10496491 15051572 20992982 25151969 41985964 50303938 100607876 199433329 398866658 477887411 797733316 955774822 1333054357 1911549644 2666108714 5332217428 25328032783 50656065566 101312131132