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101113992 = 23327439457
BaseRepresentation
bin1100000011011…
…10000010001000
321001021010022200
412001232002020
5201341121432
614011120200
72335311660
oct601560210
9231233280
10101113992
1152092491
1229a43060
1317c43885
14d6011a0
158d24a7c
hex606e088

101113992 has 96 divisors (see below), whose sum is σ = 314371200. Its totient is φ = 28760832.

The previous prime is 101113973. The next prime is 101113997. The reversal of 101113992 is 299311101.

It is not an unprimeable number, because it can be changed into a prime (101113997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221028 + ... + 221484.

It is an arithmetic number, because the mean of its divisors is an integer number (3274700).

Almost surely, 2101113992 is an apocalyptic number.

101113992 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 101113992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157185600).

101113992 is an abundant number, since it is smaller than the sum of its proper divisors (213257208).

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

101113992 is a wasteful number, since it uses less digits than its factorization.

101113992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 27.

The square root of 101113992 is about 10055.5453357836. The cubic root of 101113992 is about 465.8760868321.

The spelling of 101113992 in words is "one hundred one million, one hundred thirteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 439 457 504 878 914 1317 1371 1756 1828 2634 2742 3073 3199 3512 3656 3951 4113 5268 5484 6146 6398 7902 8226 9219 9597 10536 10968 12292 12796 15804 16452 18438 19194 24584 25592 27657 28791 31608 32904 36876 38388 55314 57582 73752 76776 110628 115164 200623 221256 230328 401246 601869 802492 1203738 1404361 1604984 1805607 2407476 2808722 3611214 4213083 4814952 5617444 7222428 8426166 11234888 12639249 14444856 16852332 25278498 33704664 50556996 101113992