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1320321113001 = 3311277132112149
BaseRepresentation
bin10011001101101001010…
…001010101101110101001
311200012222110002221201000
4103031221101111232221
5133113004201104001
62450314103345213
7164250534200652
oct23155121255651
94605873087630
101320321113001
11469a43936160
12193a78a52209
1397676182a67
1447c9237c529
1524527e70a86
hex13369455ba9

1320321113001 has 64 divisors (see below), whose sum is σ = 2143353312000. Its totient is φ = 796636684800.

The previous prime is 1320321112993. The next prime is 1320321113021. The reversal of 1320321113001 is 1003111230231.

1320321113001 is a `hidden beast` number, since 1 + 32 + 0 + 321 + 11 + 300 + 1 = 666.

It is not a de Polignac number, because 1320321113001 - 23 = 1320321112993 is a prime.

It is a super-2 number, since 2×13203211130012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1320321113021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108671275 + ... + 108683423.

It is an arithmetic number, because the mean of its divisors is an integer number (33489895500).

Almost surely, 21320321113001 is an apocalyptic number.

1320321113001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1320321113001 is a deficient number, since it is larger than the sum of its proper divisors (823032198999).

1320321113001 is a wasteful number, since it uses less digits than its factorization.

1320321113001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13767 (or 13761 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1320321113001 its reverse (1003111230231), we get a palindrome (2323432343232).

The spelling of 1320321113001 in words is "one trillion, three hundred twenty billion, three hundred twenty-one million, one hundred thirteen thousand, one".

Divisors: 1 3 9 11 27 33 99 277 297 831 1321 2493 3047 3963 7479 9141 11889 12149 14531 27423 35667 36447 43593 82269 109341 130779 133639 328023 365917 392337 400917 1097751 1202751 3293253 3365273 3608253 4025087 9879759 10095819 12075261 16048829 30287457 36225783 37018003 48146487 90862371 108677349 111054009 144439461 176537119 333162027 433318383 529611357 999486081 1588834071 4445525633 4766502213 13336576899 40009730697 48900781963 120029192091 146702345889 440107037667 1320321113001