Search a number
-
+
100397309429 is a prime number
BaseRepresentation
bin101110110000000100…
…1010101110111110101
3100121010212020202022202
41131200021111313311
53121103202400204
6114042154434245
710152640023014
oct1354011256765
9317125222282
10100397309429
113963a7335aa
121755aa32985
13960cc1b491
144c05b24a7b
15292906ae1e
hex1760255df5

100397309429 has 2 divisors, whose sum is σ = 100397309430. Its totient is φ = 100397309428.

The previous prime is 100397309351. The next prime is 100397309431. The reversal of 100397309429 is 924903793001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99165159025 + 1232150404 = 314905^2 + 35102^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100397309429 is a prime.

It is a Sophie Germain prime.

Together with 100397309431, 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 (100397309329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50198654714 + 50198654715.

It is an arithmetic number, because the mean of its divisors is an integer number (50198654715).

Almost surely, 2100397309429 is an apocalyptic number.

It is an amenable number.

100397309429 is a deficient number, since it is larger than the sum of its proper divisors (1).

100397309429 is an equidigital number, since it uses as much as digits as its factorization.

100397309429 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 367416, while the sum is 47.

The spelling of 100397309429 in words is "one hundred billion, three hundred ninety-seven million, three hundred nine thousand, four hundred twenty-nine".