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2137123711 is a prime number
BaseRepresentation
bin111111101100001…
…1110101101111111
312111221101010121001
41333120132231333
513334100424321
6552021551131
7103650152242
oct17730365577
95457333531
102137123711
119a7394748
124b78754a7
132809b8458
14163b91259
15c794bc91
hex7f61eb7f

2137123711 has 2 divisors, whose sum is σ = 2137123712. Its totient is φ = 2137123710.

The previous prime is 2137123697. The next prime is 2137123759. The reversal of 2137123711 is 1173217312.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2137123711 - 29 = 2137123199 is a prime.

It is a super-2 number, since 2×21371237112 = 9134595512236823042, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2137123711.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2137124711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1068561855 + 1068561856.

It is an arithmetic number, because the mean of its divisors is an integer number (1068561856).

Almost surely, 22137123711 is an apocalyptic number.

2137123711 is a deficient number, since it is larger than the sum of its proper divisors (1).

2137123711 is an equidigital number, since it uses as much as digits as its factorization.

2137123711 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1764, while the sum is 28.

The square root of 2137123711 is about 46229.0353673965. The cubic root of 2137123711 is about 1288.0811386763.

The spelling of 2137123711 in words is "two billion, one hundred thirty-seven million, one hundred twenty-three thousand, seven hundred eleven".