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127007631913 is a prime number
BaseRepresentation
bin111011001001000111…
…1101010101000101001
3110010211101021012022011
41312102033222220221
54040102423210123
6134202502155521
712114240026101
oct1662217525051
9403741235264
10127007631913
1149955551758
1220746722ba1
13bc90c63026
14620bccc201
1534852cae0d
hex1d923eaa29

127007631913 has 2 divisors, whose sum is σ = 127007631914. Its totient is φ = 127007631912.

The previous prime is 127007631887. The next prime is 127007631923. The reversal of 127007631913 is 319136700721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103241401344 + 23766230569 = 321312^2 + 154163^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127007631913 is a prime.

It is a super-2 number, since 2×1270076319132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (127007631923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63503815956 + 63503815957.

It is an arithmetic number, because the mean of its divisors is an integer number (63503815957).

Almost surely, 2127007631913 is an apocalyptic number.

It is an amenable number.

127007631913 is a deficient number, since it is larger than the sum of its proper divisors (1).

127007631913 is an equidigital number, since it uses as much as digits as its factorization.

127007631913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47628, while the sum is 40.

The spelling of 127007631913 in words is "one hundred twenty-seven billion, seven million, six hundred thirty-one thousand, nine hundred thirteen".