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112130020002 = 237111329363719
BaseRepresentation
bin110100001101101111…
…0000101001010100010
3101201102112102012111210
41220123132011022202
53314120241120002
6123302315250550
711046454305210
oct1503336051242
9351375365453
10112130020002
1143610522720
1219894149a56
13a75c898b80
1455da045cb0
152db40de96c
hex1a1b7852a2

112130020002 has 128 divisors (see below), whose sum is σ = 302136791040. Its totient is φ = 26792144640.

The previous prime is 112130020001. The next prime is 112130020069. The reversal of 112130020002 is 200020031211.

It is a self number, because there is not a number n which added to its sum of digits gives 112130020002.

It is not an unprimeable number, because it can be changed into a prime (112130020001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1727899 + ... + 1791617.

It is an arithmetic number, because the mean of its divisors is an integer number (2360443680).

Almost surely, 2112130020002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112130020002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151068395520).

112130020002 is an abundant number, since it is smaller than the sum of its proper divisors (190006771038).

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

112130020002 is a wasteful number, since it uses less digits than its factorization.

112130020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64048.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 112130020002 its reverse (200020031211), we get a palindrome (312150051213).

The spelling of 112130020002 in words is "one hundred twelve billion, one hundred thirty million, twenty thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 293 429 462 546 586 858 879 1001 1758 2002 2051 3003 3223 3809 4102 6006 6153 6446 7618 9669 11427 12306 19338 22561 22854 26663 41899 45122 53326 63719 67683 79989 83798 125697 127438 135366 159978 191157 251394 293293 382314 446033 586586 700909 828347 879879 892066 1338099 1401818 1656694 1759758 2102727 2485041 2676198 4205454 4906363 4970082 5798429 9111817 9812726 11596858 14719089 17395287 18223634 18669667 27335451 29438178 34790574 37339334 54670902 56009001 63782719 112018002 127565438 130687669 191348157 205366337 242705671 261375338 382696314 392063007 410732674 485411342 616099011 728117013 784126014 1232198022 1437564359 1456234026 1698939697 2669762381 2875128718 3397879394 4312693077 5096819091 5339524762 8009287143 8625386154 10193638182 16018574286 18688336667 37376673334 56065010001 112130020002