Search a number
-
+
13312323113130 = 233572817677107
BaseRepresentation
bin1100000110111000010001…
…0010100101000010101010
31202010122102200112120021000
43001232010102211002222
53221102114204110010
644151332524455430
72542532530303416
oct301560422450252
952118380476230
1013312323113130
1142727a7389308
1215b00260aa576
1375746787ca32
14340469a53d46
1518143db3d7c0
hexc1b844a50aa

13312323113130 has 64 divisors (see below), whose sum is σ = 35500068247680. Its totient is φ = 3549898835712.

The previous prime is 13312323113129. The next prime is 13312323113153. The reversal of 13312323113130 is 3131132321331.

13312323113130 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 32 + 311 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13312323113094 and 13312323113103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19322037 + ... + 19999143.

It is an arithmetic number, because the mean of its divisors is an integer number (554688566370).

Almost surely, 213312323113130 is an apocalyptic number.

13312323113130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13312323113130 is an abundant number, since it is smaller than the sum of its proper divisors (22187745134550).

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

13312323113130 is a wasteful number, since it uses less digits than its factorization.

13312323113130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749940 (or 749934 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13312323113130 its reverse (3131132321331), we get a palindrome (16443455434461).

The spelling of 13312323113130 in words is "thirteen trillion, three hundred twelve billion, three hundred twenty-three million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 72817 145634 218451 364085 436902 655353 677107 728170 1092255 1310706 1354214 1966059 2031321 2184510 3276765 3385535 3932118 4062642 6093963 6553530 6771070 9830295 10156605 12187926 18281889 19660590 20313210 30469815 36563778 60939630 91409445 182818890 49304900419 98609800838 147914701257 246524502095 295829402514 443744103771 493049004190 739573506285 887488207542 1331232311313 1479147012570 2218720518855 2662464622626 4437441037710 6656161556565 13312323113130