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113142300 = 223523710193
BaseRepresentation
bin1101011111001…
…10101000011100
321212220020001120
412233212220130
5212431023200
615121010540
72542456635
oct657465034
9255806046
10113142300
1158958537
1231a83a50
131a59570b
141105288c
159ded9a0
hex6be6a1c

113142300 has 72 divisors (see below), whose sum is σ = 336238896. Its totient is φ = 29352960.

The previous prime is 113142287. The next prime is 113142319. The reversal of 113142300 is 3241311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113142300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6004 + ... + 16196.

Almost surely, 2113142300 is an apocalyptic number.

113142300 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 113142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168119448).

113142300 is an abundant number, since it is smaller than the sum of its proper divisors (223096596).

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

113142300 is a wasteful number, since it uses less digits than its factorization.

113142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10240 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 113142300 is about 10636.8369358564. The cubic root of 113142300 is about 483.6616661951.

Adding to 113142300 its reverse (3241311), we get a palindrome (116383611).

The spelling of 113142300 in words is "one hundred thirteen million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 5550 10193 11100 20386 30579 40772 50965 61158 101930 122316 152895 203860 254825 305790 377141 509650 611580 754282 764475 1019300 1131423 1508564 1528950 1885705 2262846 3057900 3771410 4525692 5657115 7542820 9428525 11314230 18857050 22628460 28285575 37714100 56571150 113142300