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127120083823301 is a prime number
BaseRepresentation
bin11100111001110101110011…
…011100001010101011000101
3121200002120011012122021202212
4130321311303130022223011
5113130213412424321201
61130210054343313205
735530060116125522
oct3471656334125305
9550076135567685
10127120083823301
1137560363339328
1212310882a4b805
1355c14ac40b03a
1423569057cc149
15ea6a42366abb
hex739d7370aac5

127120083823301 has 2 divisors, whose sum is σ = 127120083823302. Its totient is φ = 127120083823300.

The previous prime is 127120083823261. The next prime is 127120083823349. The reversal of 127120083823301 is 103328380021721.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66110721722500 + 61009362100801 = 8130850^2 + 7810849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127120083823301 is a prime.

It is a super-2 number, since 2×1271200838233012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (127120083823351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63560041911650 + 63560041911651.

It is an arithmetic number, because the mean of its divisors is an integer number (63560041911651).

Almost surely, 2127120083823301 is an apocalyptic number.

It is an amenable number.

127120083823301 is a deficient number, since it is larger than the sum of its proper divisors (1).

127120083823301 is an equidigital number, since it uses as much as digits as its factorization.

127120083823301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The spelling of 127120083823301 in words is "one hundred twenty-seven trillion, one hundred twenty billion, eighty-three million, eight hundred twenty-three thousand, three hundred one".