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202002020222112 = 253211193355961261
BaseRepresentation
bin101101111011100001000010…
…101010001100010010100000
3222111020012112002212211021200
4231323201002222030102200
5202434100114134101422
61553342240314521200
760356110241400135
oct5573410252142240
9874205462784250
10202002020222112
1159400637262990
121a7a5417a36200
13889392a22ab46
1437c4d4291458c
1518548095c62ac
hexb7b842a8c4a0

202002020222112 has 144 divisors (see below), whose sum is σ = 659647745658720. Its totient is φ = 57991010572800.

The previous prime is 202002020222089. The next prime is 202002020222113. The reversal of 202002020222112 is 211222020200202.

202002020222112 is a `hidden beast` number, since 20 + 200 + 20 + 202 + 221 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202002020222113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677920439 + ... + 1678040822.

It is an arithmetic number, because the mean of its divisors is an integer number (4580887122630).

Almost surely, 2202002020222112 is an apocalyptic number.

202002020222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

202002020222112 is an abundant number, since it is smaller than the sum of its proper divisors (457645725436608).

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

202002020222112 is a wasteful number, since it uses less digits than its factorization.

202002020222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355961307 (or 3355961296 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 202002020222112 its reverse (211222020200202), we get a palindrome (413224040422314).

The spelling of 202002020222112 in words is "two hundred two trillion, two billion, twenty million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 44 48 57 66 72 76 88 96 99 114 132 144 152 171 176 198 209 228 264 288 304 342 352 396 418 456 528 608 627 684 792 836 912 1056 1254 1368 1584 1672 1824 1881 2508 2736 3168 3344 3762 5016 5472 6688 7524 10032 15048 20064 30096 60192 3355961261 6711922522 10067883783 13423845044 20135767566 26847690088 30203651349 36915573871 40271535132 53695380176 60407302698 63763263959 73831147742 80543070264 107390760352 110746721613 120814605396 127526527918 147662295484 161086140528 191289791877 221493443226 241629210792 255053055836 295324590968 322172281056 332240164839 382579583754 442986886452 483258421584 510106111672 573869375631 590649181936 664480329678 701395903549 765159167508 885973772904 966516843168 1020212223344 1147738751262 1181298363872 1328960659356 1402791807098 1530318335016 1771947545808 2040424446688 2104187710647 2295477502524 2657921318712 2805583614196 3060636670032 3543895091616 4208375421294 4590955005048 5315842637424 5611167228392 6121273340064 6312563131941 8416750842588 9181910010096 10631685274848 11222334456784 12625126263882 16833501685176 18363820020192 22444668913568 25250252527764 33667003370352 50500505055528 67334006740704 101001010111056 202002020222112