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113411212192 = 25171931633469
BaseRepresentation
bin110100110011111010…
…1011100001110100000
3101211201211012111210101
41221213311130032200
53324231232242232
6124033403512144
711123302253335
oct1514765341640
9354654174711
10113411212192
1144108744343
1219b91228654
13a90514a265
1456bc26c98c
152e3b8171e7
hex1a67d5c3a0

113411212192 has 96 divisors (see below), whose sum is σ = 249005534400. Its totient is φ = 50530480128.

The previous prime is 113411212183. The next prime is 113411212259. The reversal of 113411212192 is 291212114311.

It is a self number, because there is not a number n which added to its sum of digits gives 113411212192.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32691034 + ... + 32694502.

It is an arithmetic number, because the mean of its divisors is an integer number (2593807650).

Almost surely, 2113411212192 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 113411212192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124502767200).

113411212192 is an abundant number, since it is smaller than the sum of its proper divisors (135594322208).

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

113411212192 is a wasteful number, since it uses less digits than its factorization.

113411212192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 6670 counting only the distinct ones).

The product of its digits is 864, while the sum is 28.

The spelling of 113411212192 in words is "one hundred thirteen billion, four hundred eleven million, two hundred twelve thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 68 76 136 152 272 304 323 544 608 646 1292 2584 3163 3469 5168 6326 6938 10336 12652 13876 25304 27752 50608 53771 55504 58973 60097 65911 101216 107542 111008 117946 120194 131822 215084 235892 240388 263644 430168 471784 480776 527288 860336 943568 961552 1021649 1054576 1120487 1720672 1887136 1923104 2043298 2109152 2240974 4086596 4481948 8173192 8963896 10972447 16346384 17927792 21944894 32692768 35855584 43889788 87779576 175559152 186531599 208476493 351118304 373063198 416952986 746126396 833905972 1492252792 1667811944 2984505584 3335623888 3544100381 5969011168 6671247776 7088200762 14176401524 28352803048 56705606096 113411212192