Search a number
-
+
12010165137 = 334110849291
BaseRepresentation
bin10110010111101110…
…01001001110010001
31011000000020121022000
423023313021032101
5144044100241022
65303431304213
7603423501465
oct131367111621
934000217260
1012010165137
115103474913
1223b221b069
1311952b35b9
1481d1064a5
154a45cc6ac
hex2cbdc9391

12010165137 has 16 divisors (see below), whose sum is σ = 18226810560. Its totient is φ = 7811488800.

The previous prime is 12010165129. The next prime is 12010165147. The reversal of 12010165137 is 73156101021.

12010165137 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 0 + 1 + 651 + 3 + 7 = 666.

It is not a de Polignac number, because 12010165137 - 23 = 12010165129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 12010165137.

It is not an unprimeable number, because it can be changed into a prime (12010165147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5423539 + ... + 5425752.

It is an arithmetic number, because the mean of its divisors is an integer number (1139175660).

Almost surely, 212010165137 is an apocalyptic number.

It is an amenable number.

12010165137 is a deficient number, since it is larger than the sum of its proper divisors (6216645423).

12010165137 is a wasteful number, since it uses less digits than its factorization.

12010165137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10849341 (or 10849335 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 12010165137 its reverse (73156101021), we get a palindrome (85166266158).

It can be divided in two parts, 12010 and 165137, that added together give a 11-th power (177147 = 311).

The spelling of 12010165137 in words is "twelve billion, ten million, one hundred sixty-five thousand, one hundred thirty-seven".

Divisors: 1 3 9 27 41 123 369 1107 10849291 32547873 97643619 292930857 444820931 1334462793 4003388379 12010165137