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100147332517 is a prime number
BaseRepresentation
bin101110101000100111…
…1110000010110100101
3100120111102212121110121
41131101033300112211
53120100204120032
6114001304521541
710143513165241
oct1352117602645
9316442777417
10100147332517
1139521616211
12174ab1802b1
1395a01b644b
144bc0853421
15291213da97
hex17513f05a5

100147332517 has 2 divisors, whose sum is σ = 100147332518. Its totient is φ = 100147332516.

The previous prime is 100147332463. The next prime is 100147332533. The reversal of 100147332517 is 715233741001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100143134116 + 4198401 = 316454^2 + 2049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100147332517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100247332517) 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, 50073666258 + 50073666259.

It is an arithmetic number, because the mean of its divisors is an integer number (50073666259).

Almost surely, 2100147332517 is an apocalyptic number.

It is an amenable number.

100147332517 is a deficient number, since it is larger than the sum of its proper divisors (1).

100147332517 is an equidigital number, since it uses as much as digits as its factorization.

100147332517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 34.

The spelling of 100147332517 in words is "one hundred billion, one hundred forty-seven million, three hundred thirty-two thousand, five hundred seventeen".