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200100101222120 = 235112485918294097
BaseRepresentation
bin101101011111110101101111…
…011100111110111011101000
3222020111101100002202000110112
4231133311233130332323220
5202211420001403101440
61545324414550033452
760101520021545321
oct5537655734767350
9866441302660415
10200100101222120
1158837a815a50a0
121a5388a7048888
138786487a4c468
14375ac7a2b3448
1518200e2120965
hexb5fd6f73eee8

200100101222120 has 64 divisors (see below), whose sum is σ = 491174578382400. Its totient is φ = 72760742138880.

The previous prime is 200100101222053. The next prime is 200100101222239. The reversal of 200100101222120 is 21222101001002.

It is a junction number, because it is equal to n+sod(n) for n = 200100101222095 and 200100101222104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1790912 + ... + 20085008.

It is an arithmetic number, because the mean of its divisors is an integer number (7674602787225).

Almost surely, 2200100101222120 is an apocalyptic number.

200100101222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200100101222120 is an abundant number, since it is smaller than the sum of its proper divisors (291074477160280).

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

200100101222120 is a wasteful number, since it uses less digits than its factorization.

200100101222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18318978 (or 18318974 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200100101222120 its reverse (21222101001002), we get a palindrome (221322202223122).

The spelling of 200100101222120 in words is "two hundred trillion, one hundred billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 24859 49718 99436 124295 198872 248590 273449 497180 546898 994360 1093796 1367245 2187592 2734490 5468980 10937960 18294097 36588194 73176388 91470485 146352776 182940970 201235067 365881940 402470134 731763880 804940268 1006175335 1609880536 2012350670 4024701340 8049402680 454772957323 909545914646 1819091829292 2273864786615 3638183658584 4547729573230 5002502530553 9095459146460 10005005061106 18190918292920 20010010122212 25012512652765 40020020244424 50025025305530 100050050611060 200100101222120