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103323354344200 = 23522713136090527
BaseRepresentation
bin10111011111100011010111…
…110101010010101100001000
3111112211121122012211102221001
4113133203113311102230020
5102020322212203003300
61003430032124024344
730522603020031034
oct2737432765225410
9445747565742831
10103323354344200
112aa16208990661
12b7089123920b4
1345864730ab213
141b72c3c8171c4
15be2a26b7816a
hex5df8d7d52b08

103323354344200 has 96 divisors (see below), whose sum is σ = 241883614172160. Its totient is φ = 41045272819200.

The previous prime is 103323354344191. The next prime is 103323354344239. The reversal of 103323354344200 is 2443453323301.

It is a super-2 number, since 2×1033233543442002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103323354344200.

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, 13919337 + ... + 20009863.

It is an arithmetic number, because the mean of its divisors is an integer number (2519620980960).

Almost surely, 2103323354344200 is an apocalyptic number.

103323354344200 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 103323354344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120941807086080).

103323354344200 is an abundant number, since it is smaller than the sum of its proper divisors (138560259827960).

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

103323354344200 is a wasteful number, since it uses less digits than its factorization.

103323354344200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091127 (or 6091118 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 37.

The spelling of 103323354344200 in words is "one hundred three trillion, three hundred twenty-three billion, three hundred fifty-four million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 271 313 542 626 1084 1252 1355 1565 2168 2504 2710 3130 5420 6260 6775 7825 10840 12520 13550 15650 27100 31300 54200 62600 84823 169646 339292 424115 678584 848230 1696460 2120575 3392920 4241150 6090527 8482300 12181054 16964600 24362108 30452635 48724216 60905270 121810540 152263175 243621080 304526350 609052700 1218105400 1650532817 1906334951 3301065634 3812669902 6602131268 7625339804 8252664085 9531674755 13204262536 15250679608 16505328170 19063349510 33010656340 38126699020 41263320425 47658373775 66021312680 76253398040 82526640850 95316747550 165053281700 190633495100 330106563400 381266990200 516616771721 1033233543442 2066467086884 2583083858605 4132934173768 5166167717210 10332335434420 12915419293025 20664670868840 25830838586050 51661677172100 103323354344200