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112300992 = 26362983
BaseRepresentation
bin1101011000110…
…01001111000000
321211022111000000
412230121033000
5212222112432
615051000000
72532354066
oct654311700
9254274000
10112300992
1158433441
1231739000
131a35c7bb
1410cb4036
159cd457c
hex6b193c0

112300992 has 196 divisors, whose sum is σ = 349803720. Its totient is φ = 35707392.

The previous prime is 112300967. The next prime is 112301017. The reversal of 112300992 is 299003211.

It is an interprime number because it is at equal distance from previous prime (112300967) and next prime (112301017).

It is a super-2 number, since 2×1123009922 = 25223025608368128, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 27 ways as a sum of consecutive naturals, for example, 1352983 + ... + 1353065.

Almost surely, 2112300992 is an apocalyptic number.

112300992 is a gapful number since it is divisible by the number (12) 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 112300992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174901860).

112300992 is an abundant number, since it is smaller than the sum of its proper divisors (237502728).

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

112300992 is an frugal number, since it uses more digits than its factorization.

112300992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 112300992 is about 10597.2162382392. The cubic root of 112300992 is about 482.4598722747.

The spelling of 112300992 in words is "one hundred twelve million, three hundred thousand, nine hundred ninety-two".