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112104322524 = 223243241300493
BaseRepresentation
bin110100001100111110…
…0000011010111011100
3101201100202001122012100
41220121330003113130
53314042201310044
6123300000405100
711046023006355
oct1503174032734
9351322048170
10112104322524
11435a7a70837
1219887616790
13a75746c36c
1455d6876d2c
152db1c15869
hex1a19f035dc

112104322524 has 72 divisors (see below), whose sum is σ = 291169070192. Its totient is φ = 36347512320.

The previous prime is 112104322511. The next prime is 112104322549. The reversal of 112104322524 is 425223401211.

112104322524 is a `hidden beast` number, since 1 + 1 + 2 + 104 + 32 + 2 + 524 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 222822 + ... + 523314.

Almost surely, 2112104322524 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 112104322524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145584535096).

112104322524 is an abundant number, since it is smaller than the sum of its proper divisors (179064747668).

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

112104322524 is a wasteful number, since it uses less digits than its factorization.

112104322524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300787 (or 300782 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 112104322524 its reverse (425223401211), we get a palindrome (537327723735).

The spelling of 112104322524 in words is "one hundred twelve billion, one hundred four million, three hundred twenty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 241 258 387 482 516 723 774 964 1446 1548 2169 2892 4338 8676 10363 20726 31089 41452 62178 93267 124356 186534 300493 373068 600986 901479 1201972 1802958 2704437 3605916 5408874 10817748 12921199 25842398 38763597 51684796 72418813 77527194 116290791 144837626 155054388 217256439 232581582 289675252 434512878 465163164 651769317 869025756 1303538634 2607077268 3114008959 6228017918 9342026877 12456035836 18684053754 28026080631 37368107508 56052161262 112104322524