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1132187560920 = 2332513234753629
BaseRepresentation
bin10000011110011011101…
…000110010101111011000
311000020101002122021112200
4100132123220302233120
5122022210003422140
62224041512410200
7144540443324013
oct20363350625730
94006332567480
101132187560920
113a71813a8a09
121635133a6960
13829c3437c00
143cb2627237a
151e6b668b030
hex1079ba32bd8

1132187560920 has 288 divisors, whose sum is σ = 3995986316400. Its totient is φ = 277883993088.

The previous prime is 1132187560897. The next prime is 1132187560937. The reversal of 1132187560920 is 290657812311.

1132187560920 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 1 + 87 + 560 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×11321875609202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21084666 + ... + 21138294.

Almost surely, 21132187560920 is an apocalyptic number.

1132187560920 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 1132187560920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997993158200).

1132187560920 is an abundant number, since it is smaller than the sum of its proper divisors (2863798755480).

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

1132187560920 is a wasteful number, since it uses less digits than its factorization.

1132187560920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54019 (or 53999 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1132187560920 in words is "one trillion, one hundred thirty-two billion, one hundred eighty-seven million, five hundred sixty thousand, nine hundred twenty".