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113004412224 = 2631153505877
BaseRepresentation
bin110100100111110010…
…1100111110101000000
3101210200110201221010220
41221033211213311000
53322413112142344
6123525152423040
711110232440524
oct1511745476500
9353613657126
10113004412224
1143a1a054520
1219a98b47a80
13a86ba97812
145680217d84
152e15c5dc19
hex1a4f967d40

113004412224 has 56 divisors (see below), whose sum is σ = 326171832288. Its totient is φ = 34243760640.

The previous prime is 113004412223. The next prime is 113004412271. The reversal of 113004412224 is 422214400311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 113004412194 and 113004412203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113004412223) 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 7 ways as a sum of consecutive naturals, for example, 26750827 + ... + 26755050.

Almost surely, 2113004412224 is an apocalyptic number.

It is an amenable number.

113004412224 is an abundant number, since it is smaller than the sum of its proper divisors (213167420064).

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

113004412224 is a wasteful number, since it uses less digits than its factorization.

113004412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53505903 (or 53505893 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 113004412224 its reverse (422214400311), we get a palindrome (535218812535).

The spelling of 113004412224 in words is "one hundred thirteen billion, four million, four hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 53505877 107011754 160517631 214023508 321035262 428047016 588564647 642070524 856094032 1177129294 1284141048 1712188064 1765693941 2354258588 2568282096 3424376128 3531387882 4708517176 5136564192 7062775764 9417034352 10273128384 14125551528 18834068704 28251103056 37668137408 56502206112 113004412224