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127037436941 is a prime number
BaseRepresentation
bin111011001010000000…
…1010111010000001101
3110010220110100110010002
41312110001113100031
54040133040440231
6134205445054045
712115051253162
oct1662401272015
9403813313102
10127037436941
1149970359708
12207546b7325
13bc9719a33c
146211c4a069
153487c170cb
hex1d9405740d

127037436941 has 2 divisors, whose sum is σ = 127037436942. Its totient is φ = 127037436940.

The previous prime is 127037436881. The next prime is 127037436943. The reversal of 127037436941 is 149634730721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111269612041 + 15767824900 = 333571^2 + 125570^2 .

It is a cyclic number.

It is not a de Polignac number, because 127037436941 - 226 = 126970328077 is a prime.

It is a super-2 number, since 2×1270374369412 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 127037436943, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127037436943) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63518718470 + 63518718471.

It is an arithmetic number, because the mean of its divisors is an integer number (63518718471).

Almost surely, 2127037436941 is an apocalyptic number.

It is an amenable number.

127037436941 is a deficient number, since it is larger than the sum of its proper divisors (1).

127037436941 is an equidigital number, since it uses as much as digits as its factorization.

127037436941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 127037436941 in words is "one hundred twenty-seven billion, thirty-seven million, four hundred thirty-six thousand, nine hundred forty-one".