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113000000 = 2656113
BaseRepresentation
bin1101011110000…
…11111001000000
321212121222212012
412233003321000
5212412000000
615113552052
72541325031
oct657037100
9255558765
10113000000
1158870633
1231a15628
131a545a09
1411016a88
159dc1735
hex6bc3e40

113000000 has 98 divisors (see below), whose sum is σ = 282769818. Its totient is φ = 44800000.

The previous prime is 112999981. The next prime is 113000009. The reversal of 113000000 is 311.

It can be written as a sum of positive squares in 7 ways, for example, as 99042304 + 13957696 = 9952^2 + 3736^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (113000009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 999944 + ... + 1000056.

Almost surely, 2113000000 is an apocalyptic number.

113000000 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 113000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141384909).

113000000 is an abundant number, since it is smaller than the sum of its proper divisors (169769818).

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

113000000 is an frugal number, since it uses more digits than its factorization.

113000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

The square root of 113000000 is about 10630.1458127346. The cubic root of 113000000 is about 483.4588127112.

Adding to 113000000 its reverse (311), we get a palindrome (113000311).

The spelling of 113000000 in words is "one hundred thirteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 160 200 226 250 320 400 452 500 565 625 800 904 1000 1130 1250 1600 1808 2000 2260 2500 2825 3125 3616 4000 4520 5000 5650 6250 7232 8000 9040 10000 11300 12500 14125 15625 18080 20000 22600 25000 28250 31250 36160 40000 45200 50000 56500 62500 70625 90400 100000 113000 125000 141250 180800 200000 226000 250000 282500 353125 452000 500000 565000 706250 904000 1000000 1130000 1412500 1765625 2260000 2825000 3531250 4520000 5650000 7062500 11300000 14125000 22600000 28250000 56500000 113000000