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13621621121 is a prime number
BaseRepresentation
bin11001010111110100…
…10111000110000001
31022011022111001022222
430223322113012001
5210344113333441
610131354340425
7661361604053
oct145372270601
938138431288
1013621621121
115860060619
122781a2a715
1313910ca854
1493313d8d3
1554ace0d4b
hex32be97181

13621621121 has 2 divisors, whose sum is σ = 13621621122. Its totient is φ = 13621621120.

The previous prime is 13621621087. The next prime is 13621621159. The reversal of 13621621121 is 12112612631.

13621621121 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., 9960040000 + 3661581121 = 99800^2 + 60511^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13621621121 is a prime.

It is not a weakly prime, because it can be changed into another prime (13621621021) 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, 6810810560 + 6810810561.

It is an arithmetic number, because the mean of its divisors is an integer number (6810810561).

Almost surely, 213621621121 is an apocalyptic number.

It is an amenable number.

13621621121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13621621121 is an equidigital number, since it uses as much as digits as its factorization.

13621621121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 864, while the sum is 26.

The spelling of 13621621121 in words is "thirteen billion, six hundred twenty-one million, six hundred twenty-one thousand, one hundred twenty-one".