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12313132113303 = 327311787798533
BaseRepresentation
bin1011001100101101111111…
…0111011001110110010111
31121121010100100101121101100
42303023133313121312113
53103214243310111203
642104324054001143
72410410615034440
oct263133767316627
947533310347340
1012313132113303
113a17a740911aa
12146a44b0461b3
136b417b098828
14307d5cc3a2c7
1516545d42aea3
hexb32dfdd9d97

12313132113303 has 48 divisors (see below), whose sum is σ = 20417735010816. Its totient is φ = 7004531056320.

The previous prime is 12313132113287. The next prime is 12313132113389. The reversal of 12313132113303 is 30331123131321.

12313132113303 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 3 + 1 + 321 + 1 + 330 + 3 = 666.

It is not a de Polignac number, because 12313132113303 - 24 = 12313132113287 is a prime.

It is a super-2 number, since 2×123131321133032 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12313132113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15020425 + ... + 15818957.

It is an arithmetic number, because the mean of its divisors is an integer number (425369479392).

Almost surely, 212313132113303 is an apocalyptic number.

12313132113303 is a deficient number, since it is larger than the sum of its proper divisors (8104602897513).

12313132113303 is a wasteful number, since it uses less digits than its factorization.

12313132113303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799644 (or 799641 counting only the distinct ones).

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

Adding to 12313132113303 its reverse (30331123131321), we get a palindrome (42644255244624).

The spelling of 12313132113303 in words is "twelve trillion, three hundred thirteen billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred three".

Divisors: 1 3 7 9 21 63 311 787 933 2177 2361 2799 5509 6531 7083 16527 19593 49581 244757 734271 798533 1713299 2202813 2395599 5139897 5589731 7186797 15419691 16769193 50307579 248343763 628445471 745031289 1738406341 1885336413 2235093867 4399118297 5215219023 5656009239 13197354891 15645657069 39592064673 195446541481 586339624443 1368125790367 1759018873329 4104377371101 12313132113303