Search a number
-
+
13361001147 = 3213312118831
BaseRepresentation
bin11000111000110000…
…01011001010111011
31021111011002011221100
430130120023022323
5204330404014042
610045444342443
7652045431054
oct143430131273
937434064840
1013361001147
115736a33a0a
12270a6a4a23
13134c10a350
1490a69b72b
15532eb024c
hex31c60b2bb

13361001147 has 36 divisors (see below), whose sum is σ = 21476032032. Its totient is φ = 7956856800.

The previous prime is 13361001127. The next prime is 13361001167. The reversal of 13361001147 is 74110016331.

13361001147 is a `hidden beast` number, since 1 + 3 + 3 + 610 + 0 + 1 + 1 + 47 = 666.

13361001147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13361001127) and next prime (13361001167).

It is not a de Polignac number, because 13361001147 - 216 = 13360935611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13361001147.

It is not an unprimeable number, because it can be changed into a prime (13361001127) 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, 53022 + ... + 171852.

Almost surely, 213361001147 is an apocalyptic number.

13361001147 is a deficient number, since it is larger than the sum of its proper divisors (8115030885).

13361001147 is a wasteful number, since it uses less digits than its factorization.

13361001147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118912 (or 118878 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 13361001147 its reverse (74110016331), we get a palindrome (87471017478).

The spelling of 13361001147 in words is "thirteen billion, three hundred sixty-one million, one thousand, one hundred forty-seven".

Divisors: 1 3 9 13 31 39 93 117 279 403 961 1209 2883 3627 8649 12493 37479 112437 118831 356493 1069479 1544803 3683761 4634409 11051283 13903227 33153849 47888893 114196591 143666679 342589773 431000037 1027769319 1484555683 4453667049 13361001147