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2117017061 is a prime number
BaseRepresentation
bin111111000101111…
…0001110111100101
312110112112121110022
41332023301313211
513313424021221
6550023004525
7103314230255
oct17613616745
95415477408
102117017061
11997001285
124b0b99745
13279798623
14161239965
15c5cc94ab
hex7e2f1de5

2117017061 has 2 divisors, whose sum is σ = 2117017062. Its totient is φ = 2117017060.

The previous prime is 2117017057. The next prime is 2117017079. The reversal of 2117017061 is 1607107112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1092633025 + 1024384036 = 33055^2 + 32006^2 .

It is a cyclic number.

It is not a de Polignac number, because 2117017061 - 22 = 2117017057 is a prime.

It is a super-2 number, since 2×21170170612 = 8963522473130155442, 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 2117017061.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2117017561) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1058508530 + 1058508531.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508531).

Almost surely, 22117017061 is an apocalyptic number.

It is an amenable number.

2117017061 is a deficient number, since it is larger than the sum of its proper divisors (1).

2117017061 is an equidigital number, since it uses as much as digits as its factorization.

2117017061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 588, while the sum is 26.

The square root of 2117017061 is about 46011.0536827837. The cubic root of 2117017061 is about 1284.0288626597.

The spelling of 2117017061 in words is "two billion, one hundred seventeen million, seventeen thousand, sixty-one".