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13312213000 = 235361218233
BaseRepresentation
bin11000110010111100…
…00100000000001000
31021100202021111011221
430121132010000020
5204230411304000
610040542531424
7650613641422
oct143136040010
937322244157
1013312213000
115711440729
1226b6296b74
131341c87718
14903ddb812
1552da7461a
hex319784008

13312213000 has 64 divisors (see below), whose sum is σ = 31661388720. Its totient is φ = 5237568000.

The previous prime is 13312212997. The next prime is 13312213051. The reversal of 13312213000 is 31221331.

It can be written as a sum of positive squares in 8 ways, for example, as 782097156 + 12530115844 = 27966^2 + 111938^2 .

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 15 ways as a sum of consecutive naturals, for example, 48117 + ... + 170116.

Almost surely, 213312213000 is an apocalyptic number.

13312213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13312213000 is an abundant number, since it is smaller than the sum of its proper divisors (18349175720).

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

13312213000 is a wasteful number, since it uses less digits than its factorization.

13312213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218315 (or 218301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 13312213000 its reverse (31221331), we get a palindrome (13343434331).

The spelling of 13312213000 in words is "thirteen billion, three hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 488 500 610 1000 1220 1525 2440 3050 6100 7625 12200 15250 30500 61000 218233 436466 872932 1091165 1745864 2182330 4364660 5455825 8729320 10911650 13312213 21823300 26624426 27279125 43646600 53248852 54558250 66561065 106497704 109116500 133122130 218233000 266244260 332805325 532488520 665610650 1331221300 1664026625 2662442600 3328053250 6656106500 13312213000