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113120040 = 23351117712
BaseRepresentation
bin1101011111000…
…01001100101000
321212212002112010
412233201030220
5212424320130
615120315520
72542335015
oct657411450
9255762463
10113120040
1158942840
1231a72ba0
131a588547
141104870c
159de70b0
hex6be1328

113120040 has 192 divisors, whose sum is σ = 397586880. Its totient is φ = 25446400.

The previous prime is 113120027. The next prime is 113120069. The reversal of 113120040 is 40021311.

It is a happy number.

It is a super-2 number, since 2×1131200402 = 25592286899203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113119998 and 113120025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1593205 + ... + 1593275.

It is an arithmetic number, because the mean of its divisors is an integer number (2070765).

Almost surely, 2113120040 is an apocalyptic number.

113120040 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 113120040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198793440).

113120040 is an abundant number, since it is smaller than the sum of its proper divisors (284466840).

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

113120040 is a wasteful number, since it uses less digits than its factorization.

113120040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 113120040 is about 10635.7905206900. The cubic root of 113120040 is about 483.6299450356.

Adding to 113120040 its reverse (40021311), we get a palindrome (153141351).

The spelling of 113120040 in words is "one hundred thirteen million, one hundred twenty thousand, forty".