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112670342190 = 232571923616709
BaseRepresentation
bin110100011101110101…
…1001111110000101110
3101202211012010102012200
41220323223033300232
53321222101422230
6123432100242330
711066035051440
oct1507353176056
9352735112180
10112670342190
114386851a78a
1219a050a03a6
13a8177cb343
14564bad6490
152de6770160
hex1a3bacfc2e

112670342190 has 384 divisors, whose sum is σ = 373818931200. Its totient is φ = 22951019520.

The previous prime is 112670342093. The next prime is 112670342201. The reversal of 112670342190 is 91243076211.

112670342190 is a `hidden beast` number, since 1 + 126 + 7 + 0 + 342 + 190 = 666.

It is a super-2 number, since 2×1126703421902 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16790556 + ... + 16797264.

It is an arithmetic number, because the mean of its divisors is an integer number (973486800).

Almost surely, 2112670342190 is an apocalyptic number.

112670342190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112670342190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186909465600).

112670342190 is an abundant number, since it is smaller than the sum of its proper divisors (261148589010).

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

112670342190 is a wasteful number, since it uses less digits than its factorization.

112670342190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6829 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 112670342190 in words is "one hundred twelve billion, six hundred seventy million, three hundred forty-two thousand, one hundred ninety".