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202201212110112 = 2533363164453093
BaseRepresentation
bin101101111110011010100011…
…011010111100010100100000
3222111221020200010120011112000
4231332122203122330110200
5203000331040300010422
61554013542100204000
760406361350453365
oct5576324332742440
9874836603504460
10202201212110112
1159478063952626
121a817b48999600
1388a9652cb6a27
1437d083b55846c
151859ab6b1ecac
hexb7e6a36bc520

202201212110112 has 96 divisors (see below), whose sum is σ = 589915966268160. Its totient is φ = 67381840500480.

The previous prime is 202201212110111. The next prime is 202201212110143. The reversal of 202201212110112 is 211011212102202.

202201212110112 is a `hidden beast` number, since 2 + 0 + 220 + 121 + 211 + 0 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2022012121101122 (a number of 29 digits) contains 22 as substring.

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 (202201212110111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29089363 + ... + 35363730.

It is an arithmetic number, because the mean of its divisors is an integer number (6144957981960).

Almost surely, 2202201212110112 is an apocalyptic number.

It is an amenable number.

202201212110112 is an abundant number, since it is smaller than the sum of its proper divisors (387714754158048).

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

202201212110112 is a wasteful number, since it uses less digits than its factorization.

202201212110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64456743 (or 64456729 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202201212110112 its reverse (211011212102202), we get a palindrome (413212424212314).

The spelling of 202201212110112 in words is "two hundred two trillion, two hundred one billion, two hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 3631 7262 10893 14524 21786 29048 32679 43572 58096 65358 87144 98037 116192 130716 174288 196074 261432 348576 392148 522864 784296 1045728 1568592 3137184 64453093 128906186 193359279 257812372 386718558 515624744 580077837 773437116 1031249488 1160155674 1546874232 1740233511 2062498976 2320311348 3093748464 3480467022 4640622696 6187496928 6960934044 9281245392 13921868088 18562490784 27843736176 55687472352 234029180683 468058361366 702087542049 936116722732 1404175084098 1872233445464 2106262626147 2808350168196 3744466890928 4212525252294 5616700336392 6318787878441 7488933781856 8425050504588 11233400672784 12637575756882 16850101009176 22466801345568 25275151513764 33700202018352 50550303027528 67400404036704 101100606055056 202201212110112