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103123211320300 = 22529719361139011
BaseRepresentation
bin10111011100101000111110…
…011000001111101111101100
3111112010111000220102101112011
4113130220332120033233230
5102004032314044222200
61003154052124251004
730502256211300523
oct2734507630175754
9445114026371464
10103123211320300
112a949343412496
12b695b769a0a64
134570628263522
141b672937454ba
15bdc710da15ba
hex5dca3e60fbec

103123211320300 has 144 divisors (see below), whose sum is σ = 227318173018272. Its totient is φ = 40601360793600.

The previous prime is 103123211320289. The next prime is 103123211320303. The reversal of 103123211320300 is 3023112321301.

It is a super-2 number, since 2×1031232113203002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103123211320303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11444142795 + ... + 11444151805.

It is an arithmetic number, because the mean of its divisors is an integer number (1578598423738).

Almost surely, 2103123211320300 is an apocalyptic number.

103123211320300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103123211320300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113659086509136).

103123211320300 is an abundant number, since it is smaller than the sum of its proper divisors (124194961697972).

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

103123211320300 is a wasteful number, since it uses less digits than its factorization.

103123211320300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15428 (or 15421 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 103123211320300 its reverse (3023112321301), we get a palindrome (106146323641601).

The spelling of 103123211320300 in words is "one hundred three trillion, one hundred twenty-three billion, two hundred eleven million, three hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 193 194 386 388 485 772 965 970 1930 1940 2425 3860 4825 4850 6113 9011 9650 9700 12226 18022 18721 19300 24452 30565 36044 37442 45055 61130 74884 90110 93605 122260 152825 180220 187210 225275 305650 374420 450550 468025 592961 611300 874067 901100 936050 1179809 1185922 1739123 1748134 1872100 2359618 2371844 2964805 3478246 3496268 4370335 4719236 5899045 5929610 6956492 8695615 8740670 11798090 11859220 14824025 17391230 17481340 21851675 23596180 29495225 29648050 34782460 43478075 43703350 55084243 58990450 59296100 86956150 87406700 110168486 114441473 117980900 168694931 173912300 220336972 228882946 275421215 337389862 457765892 550842430 572207365 674779724 843474655 1101684860 1144414730 1377106075 1686949310 2288829460 2754212150 2861036825 3373898620 4217373275 5343171571 5508424300 5722073650 8434746550 10631258899 10686343142 11444147300 16869493100 21262517798 21372686284 26715857855 42525035596 53156294495 53431715710 106312588990 106863431420 133579289275 212625177980 265781472475 267158578550 531562944950 534317157100 1031232113203 1063125889900 2062464226406 4124928452812 5156160566015 10312321132030 20624642264060 25780802830075 51561605660150 103123211320300