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1338120918381 = 313103333114493
BaseRepresentation
bin10011011110001110001…
…110001101010101101101
311201220220221120202100010
4103132032032031111231
5133410432423342011
62502420235123433
7165450612065202
oct23361616152555
94656827522303
101338120918381
11476548412415
12197405ba3579
1399251a8b590
1448aa0375ca9
1524c1a9821a6
hex1378e38d56d

1338120918381 has 16 divisors (see below), whose sum is σ = 1940058813056. Its totient is φ = 815464276416.

The previous prime is 1338120918371. The next prime is 1338120918389. The reversal of 1338120918381 is 1838190218331.

It is not a de Polignac number, because 1338120918381 - 217 = 1338120787309 is a prime.

It is a super-2 number, since 2×13381209183812 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1338120918381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338120918389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166553230 + ... + 166561263.

It is an arithmetic number, because the mean of its divisors is an integer number (121253675816).

Almost surely, 21338120918381 is an apocalyptic number.

It is an amenable number.

1338120918381 is a deficient number, since it is larger than the sum of its proper divisors (601937894675).

1338120918381 is a wasteful number, since it uses less digits than its factorization.

1338120918381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333114612.

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 1338120918381 in words is "one trillion, three hundred thirty-eight billion, one hundred twenty million, nine hundred eighteen thousand, three hundred eighty-one".

Divisors: 1 3 13 39 103 309 1339 4017 333114493 999343479 4330488409 12991465227 34310792779 102932378337 446040306127 1338120918381