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32120132112 = 24321720876287
BaseRepresentation
bin11101111010100000…
…100101001000010000
310001220111200202212200
4131322200211020100
51011240223211422
622431125523200
72214652422015
oct357240451020
9101814622780
1032120132112
1112692a82732
126284b73500
13304b6b1543
1417a9c5570c
15c7ed1b2ac
hex77a825210

32120132112 has 120 divisors (see below), whose sum is σ = 95240261376. Its totient is φ = 10070473728.

The previous prime is 32120132089. The next prime is 32120132159. The reversal of 32120132112 is 21123102123.

32120132112 is a `hidden beast` number, since 321 + 20 + 1 + 321 + 1 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5105833 + ... + 5112119.

Almost surely, 232120132112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32120132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47620130688).

32120132112 is an abundant number, since it is smaller than the sum of its proper divisors (63120129264).

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

32120132112 is a wasteful number, since it uses less digits than its factorization.

32120132112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8405 (or 8396 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32120132112 its reverse (21123102123), we get a palindrome (53243234235).

The spelling of 32120132112 in words is "thirty-two billion, one hundred twenty million, one hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2087 2448 4174 6261 6287 8348 12522 12574 16696 18783 18861 25044 25148 33392 35479 37566 37722 50088 50296 56583 70958 75132 75444 100176 100592 106437 106879 113166 141916 150264 150888 212874 213758 226332 283832 300528 301776 319311 320637 425748 427516 452664 567664 638622 641274 851496 855032 905328 961911 1277244 1282548 1702992 1710064 1923822 2554488 2565096 3847644 5108976 5130192 7695288 13120969 15390576 26241938 39362907 52483876 78725814 104967752 118088721 157451628 209935504 223056473 236177442 314903256 446112946 472354884 629806512 669169419 892225892 944709768 1338338838 1784451784 1889419536 2007508257 2676677676 3568903568 4015016514 5353355352 8030033028 10706710704 16060066056 32120132112