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102148371217 is a prime number
BaseRepresentation
bin101111100100010000…
…1000111001100010001
3100202122220011220112001
41133020201013030101
53133144440334332
6114532030034001
710244221554304
oct1371041071421
9322586156461
10102148371217
113a359102202
1217969348901
13982b935509
144d304dcb3b
1529ccb590e7
hex17c8847311

102148371217 has 2 divisors, whose sum is σ = 102148371218. Its totient is φ = 102148371216.

The previous prime is 102148371209. The next prime is 102148371323. The reversal of 102148371217 is 712173841201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95829870096 + 6318501121 = 309564^2 + 79489^2 .

It is a cyclic number.

It is not a de Polignac number, because 102148371217 - 23 = 102148371209 is a prime.

It is a super-2 number, since 2×1021483712172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (102148371517) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51074185608 + 51074185609.

It is an arithmetic number, because the mean of its divisors is an integer number (51074185609).

Almost surely, 2102148371217 is an apocalyptic number.

It is an amenable number.

102148371217 is a deficient number, since it is larger than the sum of its proper divisors (1).

102148371217 is an equidigital number, since it uses as much as digits as its factorization.

102148371217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18816, while the sum is 37.

The spelling of 102148371217 in words is "one hundred two billion, one hundred forty-eight million, three hundred seventy-one thousand, two hundred seventeen".