Search a number
-
+
13023112101311 = 132169649454231
BaseRepresentation
bin1011110110000010110111…
…1110000111110110111111
31201002222221001222220221202
42331200231332013312333
53201332313144220221
643410422441050115
72512613600254064
oct275405576076677
951088831886852
1013023112101311
1141710862a6574
121563b71a8693b
137360c7037200
14330471774c6b
15178b6373bd0b
hexbd82df87dbf

13023112101311 has 12 divisors (see below), whose sum is σ = 14102063960400. Its totient is φ = 12021236922240.

The previous prime is 13023112101271. The next prime is 13023112101323. The reversal of 13023112101311 is 11310121132031.

It is a de Polignac number, because none of the positive numbers 2k-13023112101311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023112101331) 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 11 ways as a sum of consecutive naturals, for example, 28443566 + ... + 28897796.

It is an arithmetic number, because the mean of its divisors is an integer number (1175171996700).

Almost surely, 213023112101311 is an apocalyptic number.

13023112101311 is a deficient number, since it is larger than the sum of its proper divisors (1078951859089).

13023112101311 is a wasteful number, since it uses less digits than its factorization.

13023112101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623906 (or 623893 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 13023112101311 its reverse (11310121132031), we get a palindrome (24333233233342).

The spelling of 13023112101311 in words is "thirteen trillion, twenty-three billion, one hundred twelve million, one hundred one thousand, three hundred eleven".

Divisors: 1 13 169 169649 454231 2205437 5905003 28670681 76765039 77059834919 1001777853947 13023112101311