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112811280120 = 233357115872311
BaseRepresentation
bin110100100010000010…
…0111000011011111000
3101210012000022210201000
41221010010320123320
53322014141430440
6123454053125000
711102366026260
oct1510404703370
9353160283630
10112811280120
1143930032510
1219a44329760
13a83aa76576
1456627027a0
152e03d0e730
hex1a441386f8

112811280120 has 512 divisors, whose sum is σ = 469827993600. Its totient is φ = 23391244800.

The previous prime is 112811280119. The next prime is 112811280133. The reversal of 112811280120 is 21082118211.

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48813765 + ... + 48816075.

It is an arithmetic number, because the mean of its divisors is an integer number (917632800).

Almost surely, 2112811280120 is an apocalyptic number.

112811280120 is a gapful number since it is divisible by the number (10) 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 112811280120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234913996800).

112811280120 is an abundant number, since it is smaller than the sum of its proper divisors (357016713480).

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

112811280120 is a wasteful number, since it uses less digits than its factorization.

112811280120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

Adding to 112811280120 its reverse (21082118211), we get a palindrome (133893398331).

The spelling of 112811280120 in words is "one hundred twelve billion, eight hundred eleven million, two hundred eighty thousand, one hundred twenty".