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13102021217 is a prime number
BaseRepresentation
bin11000011001111000…
…01111101001100001
31020211002202122021002
430030330033221201
5203313104134332
610004033441345
7642452225405
oct141474175141
936732678232
1013102021217
11561382750a
122657a10255
13130a57249c
148c4125105
1551a3a5562
hex30cf0fa61

13102021217 has 2 divisors, whose sum is σ = 13102021218. Its totient is φ = 13102021216.

The previous prime is 13102021187. The next prime is 13102021253. The reversal of 13102021217 is 71212020131.

13102021217 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8670589456 + 4431431761 = 93116^2 + 66569^2 .

It is a cyclic number.

It is not a de Polignac number, because 13102021217 - 212 = 13102017121 is a prime.

It is a super-2 number, since 2×131020212172 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13102021817) 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, 6551010608 + 6551010609.

It is an arithmetic number, because the mean of its divisors is an integer number (6551010609).

Almost surely, 213102021217 is an apocalyptic number.

It is an amenable number.

13102021217 is a deficient number, since it is larger than the sum of its proper divisors (1).

13102021217 is an equidigital number, since it uses as much as digits as its factorization.

13102021217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 13102021217 its reverse (71212020131), we get a palindrome (84314041348).

The spelling of 13102021217 in words is "thirteen billion, one hundred two million, twenty-one thousand, two hundred seventeen".