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13301314257 = 372112747811
BaseRepresentation
bin11000110001101000…
…11111001011010001
31021022222202202220210
430120310133023101
5204220114024012
610035513154333
7650422206600
oct143064371321
937288682823
1013301314257
115706277300
1226b26bb9a9
13133c93ca6a
149027a1a37
1552cb2023c
hex318d1f2d1

13301314257 has 36 divisors (see below), whose sum is σ = 22676651088. Its totient is φ = 6909764400.

The previous prime is 13301314231. The next prime is 13301314277. The reversal of 13301314257 is 75241310331.

13301314257 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13301314257 - 212 = 13301310161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13301314277) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 356119 + ... + 391692.

Almost surely, 213301314257 is an apocalyptic number.

It is an amenable number.

13301314257 is a deficient number, since it is larger than the sum of its proper divisors (9375336831).

13301314257 is a wasteful number, since it uses less digits than its factorization.

13301314257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747850 (or 747832 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

Adding to 13301314257 its reverse (75241310331), we get a palindrome (88542624588).

The spelling of 13301314257 in words is "thirteen billion, three hundred one million, three hundred fourteen thousand, two hundred fifty-seven".

Divisors: 1 3 7 11 21 33 49 77 121 147 231 363 539 847 1617 2541 5929 17787 747811 2243433 5234677 8225921 15704031 24677763 36642739 57581447 90485131 109928217 172744341 271455393 403070129 633395917 1209210387 1900187751 4433771419 13301314257