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1313112300 = 2235217257473
BaseRepresentation
bin100111001000100…
…1000000011101100
310101111212000102220
41032101020003230
510142124043200
6334144315340
744353161513
oct11621100354
93344760386
101313112300
11614243785
12307912b50
1317c079336
14c657567a
157a4304a0
hex4e4480ec

1313112300 has 72 divisors (see below), whose sum is σ = 4022773776. Its totient is φ = 329564160.

The previous prime is 1313112299. The next prime is 1313112301. The reversal of 1313112300 is 32113131.

It is an interprime number because it is at equal distance from previous prime (1313112299) and next prime (1313112301).

It is a super-2 number, since 2×13131123002 = 3448527824822580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1313112300.

It is not an unprimeable number, because it can be changed into a prime (1313112301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123637 + ... + 133836.

It is an arithmetic number, because the mean of its divisors is an integer number (55871858).

Almost surely, 21313112300 is an apocalyptic number.

1313112300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313112300 is an abundant number, since it is smaller than the sum of its proper divisors (2709661476).

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

1313112300 is a wasteful number, since it uses less digits than its factorization.

1313112300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257507 (or 257500 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1313112300 is about 36236.8914229684. The cubic root of 1313112300 is about 1095.0500175230.

Adding to 1313112300 its reverse (32113131), we get a palindrome (1345225431).

The spelling of 1313112300 in words is "one billion, three hundred thirteen million, one hundred twelve thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 257473 514946 772419 1029892 1287365 1544838 2574730 3089676 3862095 4377041 5149460 6436825 7724190 8754082 12873650 13131123 15448380 17508164 19310475 21885205 25747300 26262246 38620950 43770410 52524492 65655615 77241900 87540820 109426025 131311230 218852050 262622460 328278075 437704100 656556150 1313112300