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112230290872 = 237172326319489
BaseRepresentation
bin110100010000101110…
…0100101010110111000
3101201200112002111021201
41220201130211112320
53314321423301442
6123320300343544
711052112506130
oct1504134452670
9351615074251
10112230290872
1143662089707
1219901844bb4
13a7775a5a4b
1456094a7ac0
152dbcce97b7
hex1a217255b8

112230290872 has 128 divisors (see below), whose sum is σ = 266735462400. Its totient is φ = 43134271488.

The previous prime is 112230290833. The next prime is 112230290903. The reversal of 112230290872 is 278092032211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5748904 + ... + 5768392.

It is an arithmetic number, because the mean of its divisors is an integer number (2083870800).

Almost surely, 2112230290872 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 112230290872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133367731200).

112230290872 is an abundant number, since it is smaller than the sum of its proper divisors (154505171528).

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

112230290872 is a wasteful number, since it uses less digits than its factorization.

112230290872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19805 (or 19801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 112230290872 in words is "one hundred twelve billion, two hundred thirty million, two hundred ninety thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 263 322 391 476 526 644 782 952 1052 1288 1564 1841 2104 2737 3128 3682 4471 5474 6049 7364 8942 10948 12098 14728 17884 19489 21896 24196 31297 35768 38978 42343 48392 62594 77956 84686 102833 125188 136423 155912 169372 205666 250376 272846 331313 338744 411332 448247 545692 662626 719831 822664 896494 1091384 1325252 1439662 1792988 2319191 2650504 2879324 3137729 3585976 4638382 5125607 5758648 6275458 7620199 9276764 10251214 12550916 15240398 18553528 20502428 25101832 30480796 35879249 41004856 53341393 60961592 71758498 87135319 106682786 117888961 143516996 174270638 213365572 235777922 287033992 348541276 426731144 471555844 609947233 697082552 825222727 943111688 1219894466 1650445454 2004112337 2439788932 3300890908 4008224674 4879577864 6601781816 8016449348 14028786359 16032898696 28057572718 56115145436 112230290872