Search a number
-
+
13121020300229 is a prime number
BaseRepresentation
bin1011111011101111100111…
…0000010000101111000101
31201110100122110112202120022
42332323321300100233011
53204433322144101404
643523414041344525
72522651054234132
oct276737160205705
951410573482508
1013121020300229
1141a9658993546
12157ab37198145
137423cb36991a
143350bca81589
1517b493ecd8be
hexbeef9c10bc5

13121020300229 has 2 divisors, whose sum is σ = 13121020300230. Its totient is φ = 13121020300228.

The previous prime is 13121020300159. The next prime is 13121020300303. The reversal of 13121020300229 is 92200302012131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8348499448129 + 4772520852100 = 2889377^2 + 2184610^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121020300229 - 28 = 13121020299973 is a prime.

It is a super-2 number, since 2×131210203002292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121020300198 and 13121020300207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121020000229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560510150114 + 6560510150115.

It is an arithmetic number, because the mean of its divisors is an integer number (6560510150115).

Almost surely, 213121020300229 is an apocalyptic number.

It is an amenable number.

13121020300229 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121020300229 is an equidigital number, since it uses as much as digits as its factorization.

13121020300229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 13121020300229 in words is "thirteen trillion, one hundred twenty-one billion, twenty million, three hundred thousand, two hundred twenty-nine".