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1137144961 = 101107139757
BaseRepresentation
bin100001111000111…
…0111010010000001
32221020201221122001
41003301313102001
54312102114321
6304500544001
740115400301
oct10361672201
92836657561
101137144961
11533985927
122789b2001
13151787b54
14ab04b601
1569c71c91
hex43c77481

1137144961 has 16 divisors (see below), whose sum is σ = 1169017920. Its totient is φ = 1105876800.

The previous prime is 1137144959. The next prime is 1137145027. The reversal of 1137144961 is 1694417311.

It is a cyclic number.

It is not a de Polignac number, because 1137144961 - 21 = 1137144959 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1137144961.

It is not an unprimeable number, because it can be changed into a prime (1137144361) 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, 1501795 + ... + 1502551.

It is an arithmetic number, because the mean of its divisors is an integer number (73063620).

Almost surely, 21137144961 is an apocalyptic number.

It is an amenable number.

1137144961 is a deficient number, since it is larger than the sum of its proper divisors (31872959).

1137144961 is a wasteful number, since it uses less digits than its factorization.

1137144961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104.

The product of its digits is 18144, while the sum is 37.

The square root of 1137144961 is about 33721.5800489835. The cubic root of 1137144961 is about 1043.7711220175.

The spelling of 1137144961 in words is "one billion, one hundred thirty-seven million, one hundred forty-four thousand, nine hundred sixty-one".

Divisors: 1 101 107 139 757 10807 14039 14873 76457 80999 105223 1502173 8180899 10627523 11258861 1137144961