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111996135360 = 263251931103641
BaseRepresentation
bin110100001001101111…
…1010110011111000000
3101201002012111011022100
41220103133112133000
53313332002312420
6123241133510400
711043240305034
oct1502337263700
9351065434270
10111996135360
114355199815a
1219857342400
13a73ac201a5
1455c63541c4
152da7495190
hex1a137d67c0

111996135360 has 672 divisors, whose sum is σ = 423298437120. Its totient is φ = 27072921600.

The previous prime is 111996135353. The next prime is 111996135389. The reversal of 111996135360 is 63531699111.

111996135360 is a `hidden beast` number, since 1 + 1 + 19 + 96 + 13 + 536 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 174720640 + ... + 174721280.

Almost surely, 2111996135360 is an apocalyptic number.

111996135360 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 111996135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211649218560).

111996135360 is an abundant number, since it is smaller than the sum of its proper divisors (311302301760).

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

111996135360 is a wasteful number, since it uses less digits than its factorization.

111996135360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 111996135360 in words is "one hundred eleven billion, nine hundred ninety-six million, one hundred thirty-five thousand, three hundred sixty".