Search a number
-
+
127153773772601 is a prime number
BaseRepresentation
bin11100111010010101001011…
…100001000111111100111001
3121200012210010010020000222212
4130322111023201013330321
5113131241412041210401
61130233345352024505
735532362023021202
oct3472251341077471
9550183103200885
10127153773772601
1137573681447934
1212317305692135
1355c471b0b8094
1423583bdd1c5a9
15ea7864dbddbb
hex73a54b847f39

127153773772601 has 2 divisors, whose sum is σ = 127153773772602. Its totient is φ = 127153773772600.

The previous prime is 127153773772549. The next prime is 127153773772657. The reversal of 127153773772601 is 106277377351721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77967116350201 + 49186657422400 = 8829899^2 + 7013320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127153773772601 is a prime.

It is a super-2 number, since 2×1271537737726012 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127153773772001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63576886886300 + 63576886886301.

It is an arithmetic number, because the mean of its divisors is an integer number (63576886886301).

Almost surely, 2127153773772601 is an apocalyptic number.

It is an amenable number.

127153773772601 is a deficient number, since it is larger than the sum of its proper divisors (1).

127153773772601 is an equidigital number, since it uses as much as digits as its factorization.

127153773772601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18151560, while the sum is 59.

The spelling of 127153773772601 in words is "one hundred twenty-seven trillion, one hundred fifty-three billion, seven hundred seventy-three million, seven hundred seventy-two thousand, six hundred one".