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200122110120200 = 235217471252328599
BaseRepresentation
bin101101100000001010001111…
…010010010001000100001000
3222020120111010221100212210212
4231200022033102101010020
5202212300040142321300
61545342454521100252
760103226306234042
oct5540121722210410
9866514127325725
10200122110120200
1158846345a98a64
121a541009927688
138788584698588
14375bd672cca92
15182097e40a935
hexb6028f491108

200122110120200 has 96 divisors (see below), whose sum is σ = 503135538336000. Its totient is φ = 73737107850240.

The previous prime is 200122110120113. The next prime is 200122110120209. The reversal of 200122110120200 is 2021011221002.

It is a super-2 number, since 2×2001221101202002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200122110120209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 626004500 + ... + 626324099.

It is an arithmetic number, because the mean of its divisors is an integer number (5240995191000).

Almost surely, 2200122110120200 is an apocalyptic number.

200122110120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200122110120200 is an abundant number, since it is smaller than the sum of its proper divisors (303013428215800).

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

200122110120200 is a wasteful number, since it uses less digits than its factorization.

200122110120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252328679 (or 1252328670 counting only the distinct ones).

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

Adding to 200122110120200 its reverse (2021011221002), we get a palindrome (202143121341202).

The spelling of 200122110120200 in words is "two hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 47 50 68 85 94 100 136 170 188 200 235 340 376 425 470 680 799 850 940 1175 1598 1700 1880 2350 3196 3400 3995 4700 6392 7990 9400 15980 19975 31960 39950 79900 159800 1252328599 2504657198 5009314396 6261642995 10018628792 12523285990 21289586183 25046571980 31308214975 42579172366 50093143960 58859444153 62616429950 85158344732 106447930915 117718888306 125232859900 170316689464 212895861830 235437776612 250465719800 294297220765 425791723660 470875553224 532239654575 588594441530 851583447320 1000610550601 1064479309150 1177188883060 1471486103825 2001221101202 2128958618300 2354377766120 2942972207650 4002442202404 4257917236600 5003052753005 5885944415300 8004884404808 10006105506010 11771888830600 20012211012020 25015263765025 40024422024040 50030527530050 100061055060100 200122110120200