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2132112110112 = 253219761512011
BaseRepresentation
bin11111000001101011110…
…010001111001000100000
321112211100120002101222100
4133001223302033020200
5234413031200010422
64311251230010400
7310016503624605
oct37015362171040
97484316071870
102132112110112
1175225077a566
122a5274046a00
13126098ba6baa
14752a26786ac
153a6db49b7ac
hex1f06bc8f220

2132112110112 has 144 divisors (see below), whose sum is σ = 6390708498720. Its totient is φ = 672412492800.

The previous prime is 2132112110083. The next prime is 2132112110263. The reversal of 2132112110112 is 2110112112312.

It is a happy number.

2132112110112 is a `hidden beast` number, since 21 + 321 + 1 + 211 + 0 + 112 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3908187 + ... + 4420197.

It is an arithmetic number, because the mean of its divisors is an integer number (44379920130).

Almost surely, 22132112110112 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 2132112110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195354249360).

2132112110112 is an abundant number, since it is smaller than the sum of its proper divisors (4258596388608).

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

2132112110112 is a wasteful number, since it uses less digits than its factorization.

2132112110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512807 (or 512796 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 2132112110112 its reverse (2110112112312), we get a palindrome (4242224222424).

The spelling of 2132112110112 in words is "two trillion, one hundred thirty-two billion, one hundred twelve million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 761 912 1368 1522 1824 2283 2736 3044 4566 5472 6088 6849 9132 12176 13698 14459 18264 24352 27396 28918 36528 43377 54792 57836 73056 86754 109584 115672 130131 173508 219168 231344 260262 347016 462688 512011 520524 694032 1024022 1041048 1388064 1536033 2048044 2082096 3072066 4096088 4164192 4608099 6144132 8192176 9216198 9728209 12288264 16384352 18432396 19456418 24576528 29184627 36864792 38912836 49153056 58369254 73729584 77825672 87553881 116738508 147459168 155651344 175107762 233477016 311302688 350215524 389640371 466954032 700431048 779280742 933908064 1168921113 1400862096 1558561484 2337842226 2801724192 3117122968 3506763339 4675684452 6234245936 7013526678 7403167049 9351368904 12468491872 14027053356 14806334098 18702737808 22209501147 28054106712 29612668196 37405475616 44419002294 56108213424 59225336392 66628503441 88838004588 112216426848 118450672784 133257006882 177676009176 236901345568 266514013764 355352018352 533028027528 710704036704 1066056055056 2132112110112