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113104233144 = 23337219562439
BaseRepresentation
bin110100101010110001…
…0011010001010111000
3101210221102120100201000
41221111202122022320
53323114140430034
6123543120125000
711112554055600
oct1512542321270
9353842510630
10113104233144
1143a70433451
1219b06466760
13a886677956
14568d59dc00
152e1e8ca599
hex1a5589a2b8

113104233144 has 192 divisors, whose sum is σ = 384708960000. Its totient is φ = 30614625216.

The previous prime is 113104233127. The next prime is 113104233167. The reversal of 113104233144 is 441332401311.

113104233144 is a `hidden beast` number, since 11 + 310 + 4 + 2 + 331 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 80124 + ... + 482315.

It is an arithmetic number, because the mean of its divisors is an integer number (2003692500).

Almost surely, 2113104233144 is an apocalyptic number.

113104233144 is a gapful number since it is divisible by the number (14) 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 113104233144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192354480000).

113104233144 is an abundant number, since it is smaller than the sum of its proper divisors (271604726856).

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

113104233144 is a wasteful number, since it uses less digits than its factorization.

113104233144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562487 (or 562470 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 113104233144 its reverse (441332401311), we get a palindrome (554436634455).

The spelling of 113104233144 in words is "one hundred thirteen billion, one hundred four million, two hundred thirty-three thousand, one hundred forty-four".