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20201200999956 = 22334321269204521
BaseRepresentation
bin1001001011111011101010…
…11010001101111000010100
32122112012211102122022101000
410211331311122031320110
510121434024423444311
6110544145325503300
74153326410220324
oct445756532157024
978465742568330
1020201200999956
116489310358289
122323165411b30
13b36c71387572
144dba59a4d284
1525072d992056
hex125f7568de14

20201200999956 has 96 divisors (see below), whose sum is σ = 53594253820800. Its totient is φ = 6576793816320.

The previous prime is 20201200999943. The next prime is 20201200999957. The reversal of 20201200999956 is 65999900210202.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201200999957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98670976 + ... + 98875496.

It is an arithmetic number, because the mean of its divisors is an integer number (558273477300).

Almost surely, 220201200999956 is an apocalyptic number.

It is an amenable number.

20201200999956 is an abundant number, since it is smaller than the sum of its proper divisors (33393052820844).

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

20201200999956 is a wasteful number, since it uses less digits than its factorization.

20201200999956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225846 (or 225838 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 20201200999956 in words is "twenty trillion, two hundred one billion, two hundred million, nine hundred ninety-nine thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 21269 42538 63807 85076 127614 191421 204521 255228 382842 409042 574263 613563 765684 818084 914567 1148526 1227126 1829134 1840689 2297052 2454252 2743701 3658268 3681378 5487402 5522067 7362756 8231103 8794403 10974804 11044134 16462206 17588806 22088268 24693309 26383209 32924412 35177612 49386618 52766418 79149627 98773236 105532836 158299254 237448881 316598508 474897762 949795524 4349957149 8699914298 13049871447 17399828596 26099742894 39149614341 52199485788 78299228682 117448843023 156598457364 187048157407 234897686046 374096314814 469795372092 561144472221 748192629628 1122288944442 1683433416663 2244577888884 3366866833326 5050300249989 6733733666652 10100600499978 20201200999956