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112211212000032 = 2533791643975797
BaseRepresentation
bin11001100000111000110101…
…011011100101101100100000
3112201022021202022000221012000
4121200320311123211230200
5104201432030233000112
61034353041423004000
732430664303431435
oct3140706533455440
9481267668027160
10112211212000032
1132832564919802
121070334ba39600
134a7c619978632
141d9d0a19a9b8c
15ce8d1012d7dc
hex660e356e5b20

112211212000032 has 96 divisors (see below), whose sum is σ = 331425520876800. Its totient is φ = 36930272281344.

The previous prime is 112211212000031. The next prime is 112211212000073. The reversal of 112211212000032 is 230000212112211.

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

It is a super-2 number, since 2×1122112120000322 (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 a junction number, because it is equal to n+sod(n) for n = 112211211999969 and 112211212000014.

It is not an unprimeable number, because it can be changed into a prime (112211212000031) 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, 821919643 + ... + 822056154.

It is an arithmetic number, because the mean of its divisors is an integer number (3452349175800).

Almost surely, 2112211212000032 is an apocalyptic number.

112211212000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112211212000032 is an abundant number, since it is smaller than the sum of its proper divisors (219214308876768).

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

112211212000032 is a wasteful number, since it uses less digits than its factorization.

112211212000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643975895 (or 1643975881 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112211212000032 its reverse (230000212112211), we get a palindrome (342211424112243).

The spelling of 112211212000032 in words is "one hundred twelve trillion, two hundred eleven billion, two hundred twelve million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 948 1264 1422 1896 2133 2528 2844 3792 4266 5688 7584 8532 11376 17064 22752 34128 68256 1643975797 3287951594 4931927391 6575903188 9863854782 13151806376 14795782173 19727709564 26303612752 29591564346 39455419128 44387346519 52607225504 59183128692 78910838256 88774693038 118366257384 129874087963 157821676512 177549386076 236732514768 259748175926 355098772152 389622263889 473465029536 519496351852 710197544304 779244527778 1038992703704 1168866791667 1420395088608 1558489055556 2077985407408 2337733583334 3116978111112 3506600375001 4155970814816 4675467166668 6233956222224 7013200750002 9350934333336 12467912444448 14026401500004 18701868666672 28052803000008 37403737333344 56105606000016 112211212000032