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100131023304 = 233213106977589
BaseRepresentation
bin101110101000001000…
…1100010100111001000
3100120110022012000102200
41131100101202213020
53120032020221204
6113555523200200
710143224440434
oct1352021424710
9316408160380
10100131023304
1139513396924
12174a5816060
1395999c5c20
144bbc6099c4
1529109bb539
hex17504629c8

100131023304 has 48 divisors (see below), whose sum is σ = 292048820700. Its totient is φ = 30809545344.

The previous prime is 100131023297. The next prime is 100131023309. The reversal of 100131023304 is 403320131001.

It can be written as a sum of positive squares in 2 ways, for example, as 100107694404 + 23328900 = 316398^2 + 4830^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100131023309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53487859 + ... + 53489730.

Almost surely, 2100131023304 is an apocalyptic number.

It is an amenable number.

100131023304 is an abundant number, since it is smaller than the sum of its proper divisors (191917797396).

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

100131023304 is a wasteful number, since it uses less digits than its factorization.

100131023304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106977614 (or 106977607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100131023304 its reverse (403320131001), we get a palindrome (503451154305).

The spelling of 100131023304 in words is "one hundred billion, one hundred thirty-one million, twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 106977589 213955178 320932767 427910356 641865534 855820712 962798301 1283731068 1390708657 1925596602 2567462136 2781417314 3851193204 4172125971 5562834628 7702386408 8344251942 11125669256 12516377913 16688503884 25032755826 33377007768 50065511652 100131023304