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100248073295977 is a prime number
BaseRepresentation
bin10110110010110011010010…
…110011000101100001101001
3111010221121210120222200100201
4112302303102303011201221
5101114431023230432402
6553113155030232201
730054453465312145
oct2662632263054151
9433847716880321
10100248073295977
1129a3aa72a06152
12b2b08b8ab5661
1343c2477cb1589
141aa80657a8225
15b8ca383a3687
hex5b2cd2cc5869

100248073295977 has 2 divisors, whose sum is σ = 100248073295978. Its totient is φ = 100248073295976.

The previous prime is 100248073295899. The next prime is 100248073296071. The reversal of 100248073295977 is 779592370842001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65444928758416 + 34803144537561 = 8089804^2 + 5899419^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100248073295977 is a prime.

It is not a weakly prime, because it can be changed into another prime (100248073295077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50124036647988 + 50124036647989.

It is an arithmetic number, because the mean of its divisors is an integer number (50124036647989).

Almost surely, 2100248073295977 is an apocalyptic number.

It is an amenable number.

100248073295977 is a deficient number, since it is larger than the sum of its proper divisors (1).

100248073295977 is an equidigital number, since it uses as much as digits as its factorization.

100248073295977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 53343360, while the sum is 64.

The spelling of 100248073295977 in words is "one hundred trillion, two hundred forty-eight billion, seventy-three million, two hundred ninety-five thousand, nine hundred seventy-seven".