Search a number
-
+
13121003069 is a prime number
BaseRepresentation
bin11000011100001001…
…01001111000111101
31020212102111000110122
430032010221320331
5203332434044234
610005552344325
7643102454156
oct141604517075
936772430418
1013121003069
115623511899
1226622450a5
13131148a355
148c686692d
1551bda492e
hex30e129e3d

13121003069 has 2 divisors, whose sum is σ = 13121003070. Its totient is φ = 13121003068.

The previous prime is 13121003003. The next prime is 13121003149. The reversal of 13121003069 is 96030012131.

13121003069 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., 12058894969 + 1062108100 = 109813^2 + 32590^2 .

It is a cyclic number.

It is not a de Polignac number, because 13121003069 - 28 = 13121002813 is a prime.

It is a super-2 number, since 2×131210030692 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121003369) 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, 6560501534 + 6560501535.

It is an arithmetic number, because the mean of its divisors is an integer number (6560501535).

Almost surely, 213121003069 is an apocalyptic number.

It is an amenable number.

13121003069 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121003069 is an equidigital number, since it uses as much as digits as its factorization.

13121003069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 13121003069 in words is "thirteen billion, one hundred twenty-one million, three thousand, sixty-nine".