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113256233136 = 24324792918013
BaseRepresentation
bin110100101111010011…
…0001111100010110000
3101211100000120202111100
41221132212033202300
53323422043430021
6124010150044400
711116411045344
oct1513646174260
9354300522440
10113256233136
1144039211282
1219b49349700
13a8abcc6c87
1456a5849624
152e2ce02626
hex1a5e98f8b0

113256233136 has 120 divisors (see below), whose sum is σ = 324070418880. Its totient is φ = 36907020288.

The previous prime is 113256233131. The next prime is 113256233147. The reversal of 113256233136 is 631332652311.

113256233136 is a `hidden beast` number, since 1 + 1 + 3 + 25 + 623 + 3 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113256233136.

It is not an unprimeable number, because it can be changed into a prime (113256233131) by changing a digit.

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, 6278466 + ... + 6296478.

It is an arithmetic number, because the mean of its divisors is an integer number (2700586824).

Almost surely, 2113256233136 is an apocalyptic number.

113256233136 is a gapful number since it is divisible by the number (16) 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 113256233136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162035209440).

113256233136 is an abundant number, since it is smaller than the sum of its proper divisors (210814185744).

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

113256233136 is a wasteful number, since it uses less digits than its factorization.

113256233136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19003 (or 18994 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

Adding to 113256233136 its reverse (631332652311), we get a palindrome (744588885447).

The spelling of 113256233136 in words is "one hundred thirteen billion, two hundred fifty-six million, two hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 929 1128 1692 1858 2256 2787 3384 3716 5574 6768 7432 8361 11148 14864 16722 18013 22296 33444 36026 43663 44592 54039 66888 72052 87326 108078 130989 133776 144104 162117 174652 216156 261978 288208 324234 349304 392967 432312 523956 648468 698608 785934 846611 864624 1047912 1296936 1571868 1693222 2095824 2539833 2593872 3143736 3386444 5079666 6287472 6772888 7619499 10159332 13545776 15238998 16734077 20318664 30477996 33468154 40637328 50202231 60955992 66936308 100404462 121911984 133872616 150606693 200808924 267745232 301213386 401617848 602426772 786501619 803235696 1204853544 1573003238 2359504857 2409707088 3146006476 4719009714 6292012952 7078514571 9438019428 12584025904 14157029142 18876038856 28314058284 37752077712 56628116568 113256233136