Search a number
-
+
112711603260 = 223516714397817
BaseRepresentation
bin110100011111000100…
…0101001010000111100
3101202221001202200202110
41220332020221100330
53321313132301020
6123440132454020
711100045551214
oct1507610512074
9352831680673
10112711603260
1143889841843
1219a16a7a310
13a823216b89
145653397244
152dea1c08e0
hex1a3e22943c

112711603260 has 96 divisors (see below), whose sum is σ = 317743534080. Its totient is φ = 29851867648.

The previous prime is 112711603243. The next prime is 112711603271. The reversal of 112711603260 is 62306117211.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14414872 + ... + 14422688.

It is an arithmetic number, because the mean of its divisors is an integer number (3309828480).

Almost surely, 2112711603260 is an apocalyptic number.

112711603260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112711603260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158871767040).

112711603260 is an abundant number, since it is smaller than the sum of its proper divisors (205031930820).

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

112711603260 is a wasteful number, since it uses less digits than its factorization.

112711603260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9433 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 112711603260 in words is "one hundred twelve billion, seven hundred eleven million, six hundred three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167 334 501 668 835 1002 1439 1670 2004 2505 2878 3340 4317 5010 5756 7195 7817 8634 10020 14390 15634 17268 21585 23451 28780 31268 39085 43170 46902 78170 86340 93804 117255 156340 234510 240313 469020 480626 720939 961252 1201565 1305439 1441878 2403130 2610878 2883756 3604695 3916317 4806260 5221756 6527195 7209390 7832634 11248663 13054390 14418780 15665268 19581585 22497326 26108780 33745989 39163170 44994652 56243315 67491978 78326340 112486630 134983956 168729945 224973260 337459890 674919780 1878526721 3757053442 5635580163 7514106884 9392633605 11271160326 18785267210 22542320652 28177900815 37570534420 56355801630 112711603260