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113124433716 = 223271974331799
BaseRepresentation
bin110100101011010111…
…1011101111100110100
3101210222211120122200100
41221112233131330310
53323134323334331
6123545121114100
711113220551440
oct1512657357464
9353884518610
10113124433716
1143a80880438
1219b11188930
13a88a8cb458
14569213b820
152e2156aae6
hex1a56bddf34

113124433716 has 144 divisors (see below), whose sum is σ = 344477952000. Its totient is φ = 30577974336.

The previous prime is 113124433691. The next prime is 113124433813. The reversal of 113124433716 is 617334421311.

113124433716 is a `hidden beast` number, since 1 + 1 + 312 + 4 + 4 + 337 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3541585 + ... + 3573383.

It is an arithmetic number, because the mean of its divisors is an integer number (2392208000).

Almost surely, 2113124433716 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 113124433716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172238976000).

113124433716 is an abundant number, since it is smaller than the sum of its proper divisors (231353518284).

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

113124433716 is a wasteful number, since it uses less digits than its factorization.

113124433716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32578 (or 32573 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 113124433716 in words is "one hundred thirteen billion, one hundred twenty-four million, four hundred thirty-three thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 743 798 1197 1486 1596 2229 2394 2972 4458 4788 5201 6687 8916 10402 13374 14117 15603 20804 26748 28234 31206 31799 42351 46809 56468 62412 63598 84702 93618 95397 98819 127053 127196 169404 187236 190794 197638 222593 254106 286191 296457 381588 395276 445186 508212 572382 592914 604181 667779 889371 890372 1144764 1185828 1208362 1335558 1778742 1812543 2003337 2416724 2671116 3557484 3625086 4006674 4229267 5437629 7250172 8013348 8458534 10875258 12687801 16917068 21750516 23626657 25375602 38063403 47253314 50751204 70879971 76126806 94506628 141759942 152253612 165386599 212639913 283519884 330773198 425279826 448906483 496159797 661546396 850559652 897812966 992319594 1346719449 1488479391 1795625932 1984639188 2693438898 2976958782 3142345381 4040158347 5386877796 5953917564 6284690762 8080316694 9427036143 12569381524 16160633388 18854072286 28281108429 37708144572 56562216858 113124433716