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113042320 = 2451413029
BaseRepresentation
bin1101011110011…
…10001110010000
321212201010220121
412233032032100
5212414323240
615114520024
72541562306
oct657161620
9255633817
10113042320
115889a406
1231a36014
131a55c061
1411028276
159dce04a
hex6bce390

113042320 has 20 divisors (see below), whose sum is σ = 262823580. Its totient is φ = 45216896.

The previous prime is 113042317. The next prime is 113042323. The reversal of 113042320 is 23240311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113042317) and next prime (113042323).

It can be written as a sum of positive squares in 2 ways, for example, as 33547264 + 79495056 = 5792^2 + 8916^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×1130423203 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 113042294 and 113042303.

It is not an unprimeable number, because it can be changed into a prime (113042323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 706435 + ... + 706594.

It is an arithmetic number, because the mean of its divisors is an integer number (13141179).

Almost surely, 2113042320 is an apocalyptic number.

113042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113042320 is an abundant number, since it is smaller than the sum of its proper divisors (149781260).

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

113042320 is a wasteful number, since it uses less digits than its factorization.

113042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413042 (or 1413036 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 113042320 is about 10632.1361917538. The cubic root of 113042320 is about 483.5191590926.

Adding to 113042320 its reverse (23240311), we get a palindrome (136282631).

The spelling of 113042320 in words is "one hundred thirteen million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1413029 2826058 5652116 7065145 11304232 14130290 22608464 28260580 56521160 113042320