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10122027317 is a prime number
BaseRepresentation
bin10010110110101000…
…11110000100110101
3222010102101021010122
421123110132010311
5131212214333232
64352222101325
7505555545503
oct113324360465
928112337118
1010122027317
114324690a36
121b65a1a845
13c5407409c
146c0449673
153e3964312
hex25b51e135

10122027317 has 2 divisors, whose sum is σ = 10122027318. Its totient is φ = 10122027316.

The previous prime is 10122027271. The next prime is 10122027329. The reversal of 10122027317 is 71372022101.

10122027317 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9100969201 + 1021058116 = 95399^2 + 31954^2 .

It is an emirp because it is prime and its reverse (71372022101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10122027317 - 28 = 10122027061 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10122027337) 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, 5061013658 + 5061013659.

It is an arithmetic number, because the mean of its divisors is an integer number (5061013659).

Almost surely, 210122027317 is an apocalyptic number.

It is an amenable number.

10122027317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122027317 is an equidigital number, since it uses as much as digits as its factorization.

10122027317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1176, while the sum is 26.

Adding to 10122027317 its reverse (71372022101), we get a palindrome (81494049418).

The spelling of 10122027317 in words is "ten billion, one hundred twenty-two million, twenty-seven thousand, three hundred seventeen".