Search a number
-
+
10742106241 = 711313892969
BaseRepresentation
bin10100000000100011…
…11000100010000001
31000201122011112111201
422000101320202001
5133444434344431
64533532341201
7530125252666
oct120021704201
930648145451
1010742106241
114612703459
1220b9614801
13102267cca9
1473c93ba6d
1542d0eb461
hex280478881

10742106241 has 16 divisors (see below), whose sum is σ = 11008483200. Its totient is φ = 10479414400.

The previous prime is 10742106239. The next prime is 10742106281. The reversal of 10742106241 is 14260124701.

It is a cyclic number.

It is not a de Polignac number, because 10742106241 - 21 = 10742106239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10742106281) 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, 3616605 + ... + 3619573.

It is an arithmetic number, because the mean of its divisors is an integer number (688030200).

Almost surely, 210742106241 is an apocalyptic number.

It is an amenable number.

10742106241 is a deficient number, since it is larger than the sum of its proper divisors (266376959).

10742106241 is a wasteful number, since it uses less digits than its factorization.

10742106241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3560.

The product of its (nonzero) digits is 2688, while the sum is 28.

The spelling of 10742106241 in words is "ten billion, seven hundred forty-two million, one hundred six thousand, two hundred forty-one".

Divisors: 1 71 131 389 2969 9301 27619 50959 210799 388939 1154941 3618089 27614669 82000811 151297271 10742106241