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113314642025 = 5213896735821
BaseRepresentation
bin110100110001000010…
…1000011100001101001
3101211111002111020102112
41221202011003201221
53324032022021100
6124020034012105
711121020364554
oct1514205034151
9354432436375
10113314642025
1144069185792
1219b64a17035
13a8bb137950
1456ad4d169b
152e330ddb35
hex1a62143869

113314642025 has 48 divisors (see below), whose sum is σ = 153272533680. Its totient is φ = 82601164800.

The previous prime is 113314641959. The next prime is 113314642061. The reversal of 113314642025 is 520246413311.

It can be written as a sum of positive squares in 24 ways, for example, as 95946301504 + 17368340521 = 309752^2 + 131789^2 .

It is not a de Polignac number, because 113314642025 - 224 = 113297864809 is a prime.

It is a super-2 number, since 2×1133146420252 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113314641982 and 113314642000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19463615 + ... + 19469435.

It is an arithmetic number, because the mean of its divisors is an integer number (3193177785).

Almost surely, 2113314642025 is an apocalyptic number.

It is an amenable number.

113314642025 is a deficient number, since it is larger than the sum of its proper divisors (39957891655).

113314642025 is a wasteful number, since it uses less digits than its factorization.

113314642025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 113314642025 in words is "one hundred thirteen billion, three hundred fourteen million, six hundred forty-two thousand, twenty-five".

Divisors: 1 5 13 25 65 89 325 445 673 1157 2225 3365 5785 5821 8749 16825 28925 29105 43745 59897 75673 145525 218725 299485 378365 518069 778661 1497425 1891825 2590345 3893305 3917533 6734897 12951725 19466525 19587665 33674485 50927929 97938325 168372425 254639645 348660437 1273198225 1743302185 4532585681 8716510925 22662928405 113314642025