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113422500 = 223254712
BaseRepresentation
bin1101100001010…
…11000010100100
321220102110102100
412300223002210
5213014010000
615131012100
72545034562
oct660530244
9256373370
10113422500
115902a004
1231b9a030
131a663109
14110c6a32
159e56a00
hex6c2b0a4

113422500 has 135 divisors (see below), whose sum is σ = 363386023. Its totient is φ = 29820000.

The previous prime is 113422489. The next prime is 113422511. The reversal of 113422500 is 5224311.

The square root of 113422500 is 10650.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (113422489) and next prime (113422511).

It can be written as a sum of positive squares in 2 ways, for example, as 8892324 + 104530176 = 2982^2 + 10224^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1597465 + ... + 1597535.

Almost surely, 2113422500 is an apocalyptic number.

113422500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113422500 is the 10650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113422500

113422500 is an abundant number, since it is smaller than the sum of its proper divisors (249963523).

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

113422500 is an equidigital number, since it uses as much as digits as its factorization.

113422500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 113422500 is about 484.0606041635.

Adding to 113422500 its reverse (5224311), we get a palindrome (118646811).

The spelling of 113422500 in words is "one hundred thirteen million, four hundred twenty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 71 75 90 100 125 142 150 180 213 225 250 284 300 355 375 426 450 500 625 639 710 750 852 900 1065 1125 1250 1278 1420 1500 1775 1875 2130 2250 2500 2556 3195 3550 3750 4260 4500 5041 5325 5625 6390 7100 7500 8875 10082 10650 11250 12780 15123 15975 17750 20164 21300 22500 25205 26625 30246 31950 35500 44375 45369 50410 53250 60492 63900 75615 79875 88750 90738 100820 106500 126025 133125 151230 159750 177500 181476 226845 252050 266250 302460 319500 378075 399375 453690 504100 532500 630125 756150 798750 907380 1134225 1260250 1512300 1597500 1890375 2268450 2520500 3150625 3780750 4536900 5671125 6301250 7561500 9451875 11342250 12602500 18903750 22684500 28355625 37807500 56711250 113422500