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2130276961 = 37121747309
BaseRepresentation
bin111111011111001…
…0111001001100001
312111110111021121201
41332332113021201
513330322330321
6551215121201
7103535025001
oct17676271141
95443437551
102130276961
119a353867a
124b5513201
1327c45bc17
14162ccc001
15c7048291
hex7ef97261

2130276961 has 8 divisors (see below), whose sum is σ = 2189696040. Its totient is φ = 2070955008.

The previous prime is 2130276959. The next prime is 2130276977. The reversal of 2130276961 is 1696720312.

It can be written as a sum of positive squares in 4 ways, for example, as 206928225 + 1923348736 = 14385^2 + 43856^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2130276961 - 21 = 2130276959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 2130276961.

It is not an unprimeable number, because it can be changed into a prime (2130276931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21375 + ... + 68683.

It is an arithmetic number, because the mean of its divisors is an integer number (273712005).

Almost surely, 22130276961 is an apocalyptic number.

It is an amenable number.

2130276961 is a deficient number, since it is larger than the sum of its proper divisors (59419079).

2130276961 is a wasteful number, since it uses less digits than its factorization.

2130276961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48563.

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 2130276961 is about 46154.9234751830. The cubic root of 2130276961 is about 1286.7041158513.

The spelling of 2130276961 in words is "two billion, one hundred thirty million, two hundred seventy-six thousand, nine hundred sixty-one".

Divisors: 1 37 1217 45029 47309 1750433 57575053 2130276961