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100331312100 = 223521672002621
BaseRepresentation
bin101110101110000110…
…1100101001111100100
3100120222021001202000020
41131130031211033210
53120434303441400
6114031440115140
710151206036665
oct1353415451744
9316867052006
10100331312100
1139606456858
1217540905ab0
1395cc3517c6
144bdb06536c
1529233812a0
hex175c3653e4

100331312100 has 72 divisors (see below), whose sum is σ = 292030350528. Its totient is φ = 26594793600.

The previous prime is 100331312009. The next prime is 100331312117. The reversal of 100331312100 is 1213133001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100331312100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951211 + ... + 1051410.

Almost surely, 2100331312100 is an apocalyptic number.

100331312100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100331312100 is an abundant number, since it is smaller than the sum of its proper divisors (191699038428).

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

100331312100 is a wasteful number, since it uses less digits than its factorization.

100331312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002805 (or 2002798 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100331312100 its reverse (1213133001), we get a palindrome (101544445101).

The spelling of 100331312100 in words is "one hundred billion, three hundred thirty-one million, three hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 25050 50100 2002621 4005242 6007863 8010484 10013105 12015726 20026210 24031452 30039315 40052420 50065525 60078630 100131050 120157260 150196575 200262100 300393150 334437707 600786300 668875414 1003313121 1337750828 1672188535 2006626242 3344377070 4013252484 5016565605 6688754140 8360942675 10033131210 16721885350 20066262420 25082828025 33443770700 50165656050 100331312100