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13149327101 is a prime number
BaseRepresentation
bin11000011111100001…
…01100111011111101
31020221101210000201212
430033300230323331
5203412211431401
610012443414205
7643565302421
oct141760547375
936841700655
1013149327101
1156384a8089
12266b824365
1313172c6531
148ca51ab81
1551e5ebdbb
hex30fc2cefd

13149327101 has 2 divisors, whose sum is σ = 13149327102. Its totient is φ = 13149327100.

The previous prime is 13149327091. The next prime is 13149327173. The reversal of 13149327101 is 10172394131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11262727876 + 1886599225 = 106126^2 + 43435^2 .

It is a cyclic number.

It is not a de Polignac number, because 13149327101 - 210 = 13149326077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13149327181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6574663550 + 6574663551.

It is an arithmetic number, because the mean of its divisors is an integer number (6574663551).

Almost surely, 213149327101 is an apocalyptic number.

It is an amenable number.

13149327101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13149327101 is an equidigital number, since it uses as much as digits as its factorization.

13149327101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 32.

The spelling of 13149327101 in words is "thirteen billion, one hundred forty-nine million, three hundred twenty-seven thousand, one hundred one".