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13377877331 = 71341101131271
BaseRepresentation
bin11000111010110001…
…00011010101010011
31021112022211120201012
430131120203111103
5204344214033311
610051250201135
7652342036550
oct143530432523
937468746635
1013377877331
115745510275
1227142831ab
131352768960
1490ca11a27
155346e578b
hex31d623553

13377877331 has 64 divisors (see below), whose sum is σ = 17227026432. Its totient is φ = 10108800000.

The previous prime is 13377877327. The next prime is 13377877339.

13377877331 is nontrivially palindromic in base 10.

13377877331 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 13377877331 - 22 = 13377877327 is a prime.

It is a super-2 number, since 2×133778773312 (a number of 21 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 13377877331.

It is not an unprimeable number, because it can be changed into a prime (13377877339) 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 63 ways as a sum of consecutive naturals, for example, 49364726 + ... + 49364996.

It is an arithmetic number, because the mean of its divisors is an integer number (269172288).

Almost surely, 213377877331 is an apocalyptic number.

13377877331 is a deficient number, since it is larger than the sum of its proper divisors (3849149101).

13377877331 is a wasteful number, since it uses less digits than its factorization.

13377877331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564.

The product of its digits is 1555848, while the sum is 50.

The spelling of 13377877331 in words is "thirteen billion, three hundred seventy-seven million, eight hundred seventy-seven thousand, three hundred thirty-one".

Divisors: 1 7 13 41 91 101 131 271 287 533 707 917 1313 1703 1897 3523 3731 4141 5371 9191 11111 11921 13231 24661 27371 28987 35501 37597 53833 69823 77777 92617 144443 172003 191597 248507 355823 376831 461513 488761 542471 1011101 1122211 1204021 1455541 2490761 3230591 3585601 3797297 7052123 7855477 10188787 14588743 18922033 25099207 46612813 49364861 102121201 132454231 147009641 326289691 1029067487 1911125333 13377877331