Search a number
-
+
13031004152727 = 32111181711113863
BaseRepresentation
bin1011110110100000010001…
…0111111010001110010111
31201010202022002021200020100
42331220010113322032113
53201444444030341402
643414205523105143
72513313300505251
oct275500427721627
951122262250210
1013031004152727
114174466143610
1215655b4b121b3
13736a840b2912
143309bd97ccd1
15178e7651271c
hexbda045fa397

13031004152727 has 24 divisors (see below), whose sum is σ = 20533895710848. Its totient is φ = 7897504352400.

The previous prime is 13031004152681. The next prime is 13031004152743. The reversal of 13031004152727 is 72725140013031.

13031004152727 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 100 + 4 + 1 + 527 + 27 = 666.

It is not a de Polignac number, because 13031004152727 - 228 = 13030735717271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031004152691 and 13031004152700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031004152767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11141998 + ... + 12255860.

It is an arithmetic number, because the mean of its divisors is an integer number (855578987952).

Almost surely, 213031004152727 is an apocalyptic number.

13031004152727 is a deficient number, since it is larger than the sum of its proper divisors (7502891558121).

13031004152727 is a wasteful number, since it uses less digits than its factorization.

13031004152727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232051 (or 1232048 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Adding to 13031004152727 its reverse (72725140013031), we get a palindrome (85756144165758).

The spelling of 13031004152727 in words is "thirteen trillion, thirty-one billion, four million, one hundred fifty-two thousand, seven hundred twenty-seven".

Divisors: 1 3 9 11 33 99 118171 354513 1063539 1113863 1299881 3341589 3899643 10024767 11698929 12252493 36757479 110272437 131626304573 394878913719 1184636741157 1447889350303 4343668050909 13031004152727