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100245923257 is a prime number
BaseRepresentation
bin101110101011100011…
…1110110010110111001
3100120202022101112112111
41131113013312112321
53120300424021012
6114015150012321
710146121200634
oct1352707662671
9316668345474
10100245923257
1139572234967
12175181a70a1
1395b775566c
144bcd998c1b
15291ab15ba7
hex17571f65b9

100245923257 has 2 divisors, whose sum is σ = 100245923258. Its totient is φ = 100245923256.

The previous prime is 100245923243. The next prime is 100245923287. The reversal of 100245923257 is 752329542001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82561976896 + 17683946361 = 287336^2 + 132981^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100245923257 is a prime.

It is not a weakly prime, because it can be changed into another prime (100245923207) 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, 50122961628 + 50122961629.

It is an arithmetic number, because the mean of its divisors is an integer number (50122961629).

Almost surely, 2100245923257 is an apocalyptic number.

It is an amenable number.

100245923257 is a deficient number, since it is larger than the sum of its proper divisors (1).

100245923257 is an equidigital number, since it uses as much as digits as its factorization.

100245923257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 151200, while the sum is 40.

The spelling of 100245923257 in words is "one hundred billion, two hundred forty-five million, nine hundred twenty-three thousand, two hundred fifty-seven".