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58901100017 is a prime number
BaseRepresentation
bin110110110110110001…
…110111010111110001
312122000220210220100212
4312312301313113301
51431112140200032
643020410553505
74153424042444
oct666661672761
9178026726325
1058901100017
1122a86154261
12b4b9a38895
135728ba3106
142bca95d65b
1517eb037bb2
hexdb6c775f1

58901100017 has 2 divisors, whose sum is σ = 58901100018. Its totient is φ = 58901100016.

The previous prime is 58901100007. The next prime is 58901100067. The reversal of 58901100017 is 71000110985.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58873684321 + 27415696 = 242639^2 + 5236^2 .

It is a cyclic number.

It is not a de Polignac number, because 58901100017 - 26 = 58901099953 is a prime.

It is not a weakly prime, because it can be changed into another prime (58901100007) 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, 29450550008 + 29450550009.

It is an arithmetic number, because the mean of its divisors is an integer number (29450550009).

Almost surely, 258901100017 is an apocalyptic number.

It is an amenable number.

58901100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

58901100017 is an equidigital number, since it uses as much as digits as its factorization.

58901100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 32.

The spelling of 58901100017 in words is "fifty-eight billion, nine hundred one million, one hundred thousand, seventeen".