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113113404144 = 24321360423827
BaseRepresentation
bin110100101011000010…
…1011001001011110000
3101210222001211021221200
41221112011121023300
53323124012413034
6123544044451200
711113025033316
oct1512605311360
9353861737850
10113113404144
1143a75627794
1219b09549b00
13a888539090
1456908aa0b6
152e205dca99
hex1a561592f0

113113404144 has 60 divisors (see below), whose sum is σ = 340911237576. Its totient is φ = 34804123776.

The previous prime is 113113404143. The next prime is 113113404167. The reversal of 113113404144 is 441404311311.

113113404144 is a `hidden beast` number, since 1 + 1 + 3 + 113 + 404 + 144 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113113404143) 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 11 ways as a sum of consecutive naturals, for example, 30210042 + ... + 30213785.

Almost surely, 2113113404144 is an apocalyptic number.

It is an amenable number.

113113404144 is an abundant number, since it is smaller than the sum of its proper divisors (227797833432).

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

113113404144 is a wasteful number, since it uses less digits than its factorization.

113113404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60423854 (or 60423845 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 113113404144 its reverse (441404311311), we get a palindrome (554517715455).

The spelling of 113113404144 in words is "one hundred thirteen billion, one hundred thirteen million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 60423827 120847654 181271481 241695308 362542962 483390616 543814443 725085924 785509751 966781232 1087628886 1450171848 1571019502 2175257772 2356529253 2900343696 3142039004 4350515544 4713058506 6284078008 7069587759 8701031088 9426117012 12568156016 14139175518 18852234024 28278351036 37704468048 56556702072 113113404144