Search a number
-
+
13013231193 = 3273137144577
BaseRepresentation
bin11000001111010011…
…00010011001011001
31020120220200122020200
430013221202121121
5203122341344233
65551142412413
7640323432354
oct140751423131
936526618220
1013013231193
1155786a2226
122632131109
1312c5055201
148b641129b
155126b7313
hex307a62659

13013231193 has 24 divisors (see below), whose sum is σ = 19193596968. Its totient is φ = 8494129152.

The previous prime is 13013231191. The next prime is 13013231207. The reversal of 13013231193 is 39113231031.

13013231193 is a `hidden beast` number, since 130 + 132 + 311 + 93 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1229694489 + 11783536704 = 35067^2 + 108552^2 .

It is not a de Polignac number, because 13013231193 - 21 = 13013231191 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13013231191) 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, 17721 + ... + 162297.

It is an arithmetic number, because the mean of its divisors is an integer number (799733207).

Almost surely, 213013231193 is an apocalyptic number.

It is an amenable number.

13013231193 is a deficient number, since it is larger than the sum of its proper divisors (6180365775).

13013231193 is a wasteful number, since it uses less digits than its factorization.

13013231193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144793 (or 144790 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 13013231193 in words is "thirteen billion, thirteen million, two hundred thirty-one thousand, one hundred ninety-three".

Divisors: 1 3 9 73 137 219 411 657 1233 10001 30003 90009 144577 433731 1301193 10554121 19807049 31662363 59421147 94987089 178263441 1445914577 4337743731 13013231193