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113132500 = 225413592
BaseRepresentation
bin1101011111001…
…00001111010100
321212212201121121
412233210033110
5212430220000
615120453324
72542416235
oct657441724
9255781547
10113132500
1158951138
1231a7a244
131a591110
141104d08c
159deab1a
hex6be43d4

113132500 has 90 divisors (see below), whose sum is σ = 271021058. Its totient is φ = 41064000.

The previous prime is 113132497. The next prime is 113132533. The reversal of 113132500 is 5231311.

It can be written as a sum of positive squares in 5 ways, for example, as 66292164 + 46840336 = 8142^2 + 6844^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1917471 + ... + 1917529.

Almost surely, 2113132500 is an apocalyptic number.

113132500 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 113132500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135510529).

113132500 is an abundant number, since it is smaller than the sum of its proper divisors (157888558).

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

113132500 is an equidigital number, since it uses as much as digits as its factorization.

113132500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113132500 is about 10636.3762626188. The cubic root of 113132500 is about 483.6477014175.

Adding to 113132500 its reverse (5231311), we get a palindrome (118363811).

The spelling of 113132500 in words is "one hundred thirteen million, one hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 59 65 100 118 125 130 236 250 260 295 325 500 590 625 650 767 1180 1250 1300 1475 1534 1625 2500 2950 3068 3250 3481 3835 5900 6500 6962 7375 7670 8125 13924 14750 15340 16250 17405 19175 29500 32500 34810 36875 38350 45253 69620 73750 76700 87025 90506 95875 147500 174050 181012 191750 226265 348100 383500 435125 452530 479375 870250 905060 958750 1131325 1740500 1917500 2175625 2262650 4351250 4525300 5656625 8702500 11313250 22626500 28283125 56566250 113132500