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113012100 = 223252199631
BaseRepresentation
bin1101011110001…
…10110110000100
321212122121110100
412233012312010
5212412341400
615114124100
72541405225
oct657066604
9255577410
10113012100
1158879733
1231a20630
131a54b386
141101b24c
159dc5100
hex6bc6d84

113012100 has 108 divisors (see below), whose sum is σ = 356574400. Its totient is φ = 29937600.

The previous prime is 113012099. The next prime is 113012117. The reversal of 113012100 is 1210311.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 178785 + ... + 179415.

Almost surely, 2113012100 is an apocalyptic number.

113012100 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 113012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178287200).

113012100 is an abundant number, since it is smaller than the sum of its proper divisors (243562300).

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

113012100 is a wasteful number, since it uses less digits than its factorization.

113012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 113012100 is about 10630.7149336251. The cubic root of 113012100 is about 483.4760682948.

Adding to 113012100 its reverse (1210311), we get a palindrome (114222411).

The spelling of 113012100 in words is "one hundred thirteen million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 199 225 300 398 450 597 631 796 900 995 1194 1262 1791 1893 1990 2388 2524 2985 3155 3582 3786 3980 4975 5679 5970 6310 7164 7572 8955 9465 9950 11358 11940 12620 14925 15775 17910 18930 19900 22716 28395 29850 31550 35820 37860 44775 47325 56790 59700 63100 89550 94650 113580 125569 141975 179100 189300 251138 283950 376707 502276 567900 627845 753414 1130121 1255690 1506828 1883535 2260242 2511380 3139225 3767070 4520484 5650605 6278450 7534140 9417675 11301210 12556900 18835350 22602420 28253025 37670700 56506050 113012100