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126893040161 is a prime number
BaseRepresentation
bin111011000101101101…
…0100010001000100001
3110010112101122022222012
41312023122202020201
54034334104241121
6134143250122305
712111346021256
oct1661332421041
9403471568865
10126893040161
11498a68a4228
1220714280395
13bc732b0964
1461da9bd42d
15347a1e2c5b
hex1d8b6a2221

126893040161 has 2 divisors, whose sum is σ = 126893040162. Its totient is φ = 126893040160.

The previous prime is 126893040149. The next prime is 126893040163. The reversal of 126893040161 is 161040398621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95224702225 + 31668337936 = 308585^2 + 177956^2 .

It is an emirp because it is prime and its reverse (161040398621) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 126893040161 - 26 = 126893040097 is a prime.

It is a super-2 number, since 2×1268930401612 (a number of 23 digits) contains 22 as substring.

Together with 126893040163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (126893040163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63446520080 + 63446520081.

It is an arithmetic number, because the mean of its divisors is an integer number (63446520081).

Almost surely, 2126893040161 is an apocalyptic number.

It is an amenable number.

126893040161 is a deficient number, since it is larger than the sum of its proper divisors (1).

126893040161 is an equidigital number, since it uses as much as digits as its factorization.

126893040161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 41.

The spelling of 126893040161 in words is "one hundred twenty-six billion, eight hundred ninety-three million, forty thousand, one hundred sixty-one".