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100413132293 is a prime number
BaseRepresentation
bin101110110000100010…
…1101100111000000101
3100121011222000122012202
41131201011230320011
53121121230213133
6114043521524245
710153221353555
oct1354105547005
9317158018182
10100413132293
1139648660551
12175641a3685
13961329b516
144c07c83165
15292a6442e8
hex176116ce05

100413132293 has 2 divisors, whose sum is σ = 100413132294. Its totient is φ = 100413132292.

The previous prime is 100413132283. The next prime is 100413132341. The reversal of 100413132293 is 392231314001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55198213249 + 45214919044 = 234943^2 + 212638^2 .

It is a cyclic number.

It is not a de Polignac number, because 100413132293 - 28 = 100413132037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100413132223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50206566146 + 50206566147.

It is an arithmetic number, because the mean of its divisors is an integer number (50206566147).

Almost surely, 2100413132293 is an apocalyptic number.

It is an amenable number.

100413132293 is a deficient number, since it is larger than the sum of its proper divisors (1).

100413132293 is an equidigital number, since it uses as much as digits as its factorization.

100413132293 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 100413132293 its reverse (392231314001), we get a palindrome (492644446294).

The spelling of 100413132293 in words is "one hundred billion, four hundred thirteen million, one hundred thirty-two thousand, two hundred ninety-three".