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2141160961 is a prime number
BaseRepresentation
bin111111110011111…
…1000011000000001
312112012222020122211
41333213320120001
513341114122321
6552244302121
7104026365532
oct17747703001
95465866584
102141160961
119a96a1a15
124b90a1941
1328179cc64
14164522689
15c7e980e1
hex7f9f8601

2141160961 has 2 divisors, whose sum is σ = 2141160962. Its totient is φ = 2141160960.

The previous prime is 2141160949. The next prime is 2141161019. The reversal of 2141160961 is 1690611412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1437850561 + 703310400 = 37919^2 + 26520^2 .

It is a cyclic number.

It is not a de Polignac number, because 2141160961 - 223 = 2132772353 is a prime.

It is not a weakly prime, because it can be changed into another prime (2141160911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1070580480 + 1070580481.

It is an arithmetic number, because the mean of its divisors is an integer number (1070580481).

Almost surely, 22141160961 is an apocalyptic number.

It is an amenable number.

2141160961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2141160961 is an equidigital number, since it uses as much as digits as its factorization.

2141160961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 2141160961 is about 46272.6805037270. The cubic root of 2141160961 is about 1288.8917350779.

The spelling of 2141160961 in words is "two billion, one hundred forty-one million, one hundred sixty thousand, nine hundred sixty-one".