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103312031100 = 223521720257261
BaseRepresentation
bin110000000110111100…
…0000111110101111100
3100212122222210221210020
41200031320013311330
53143040334443400
6115243315212140
710315111526565
oct1401570076574
9325588727706
10103312031100
113a8a5a48093
1218032ba7050
139985a44c65
145000c8d16c
152a49db72a0
hex180de07d7c

103312031100 has 72 divisors (see below), whose sum is σ = 316499461488. Its totient is φ = 25929292800.

The previous prime is 103312031089. The next prime is 103312031113. The reversal of 103312031100 is 1130213301.

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 103312031100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10123531 + ... + 10133730.

It is an arithmetic number, because the mean of its divisors is an integer number (4395825854).

Almost surely, 2103312031100 is an apocalyptic number.

103312031100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103312031100 is an abundant number, since it is smaller than the sum of its proper divisors (213187430388).

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

103312031100 is a wasteful number, since it uses less digits than its factorization.

103312031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20257295 (or 20257288 counting only the distinct ones).

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

Adding to 103312031100 its reverse (1130213301), we get a palindrome (104442244401).

The spelling of 103312031100 in words is "one hundred three billion, three hundred twelve million, thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 20257261 40514522 60771783 81029044 101286305 121543566 202572610 243087132 303858915 344373437 405145220 506431525 607717830 688746874 1012863050 1033120311 1215435660 1377493748 1519294575 1721867185 2025726100 2066240622 3038589150 3443734370 4132481244 5165601555 6077178300 6887468740 8609335925 10331203110 17218671850 20662406220 25828007775 34437343700 51656015550 103312031100