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13401184129181 is a prime number
BaseRepresentation
bin1100001100000011010011…
…0100011101000010011101
31202110010210120012220010122
43003000310310131002131
53224031111114113211
644300230300444325
72552126556420152
oct303006464350235
952403716186118
1013401184129181
1142a7457088952
1216052a55496a5
137629597220c4
14344899586229
151838deed36db
hexc3034d1d09d

13401184129181 has 2 divisors, whose sum is σ = 13401184129182. Its totient is φ = 13401184129180.

The previous prime is 13401184129171. The next prime is 13401184129187. The reversal of 13401184129181 is 18192148110431.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13369012325956 + 32171803225 = 3656366^2 + 179365^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13401184129181 is a prime.

It is a super-2 number, since 2×134011841291812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13401184129187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6700592064590 + 6700592064591.

It is an arithmetic number, because the mean of its divisors is an integer number (6700592064591).

Almost surely, 213401184129181 is an apocalyptic number.

It is an amenable number.

13401184129181 is a deficient number, since it is larger than the sum of its proper divisors (1).

13401184129181 is an equidigital number, since it uses as much as digits as its factorization.

13401184129181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 44.

The spelling of 13401184129181 in words is "thirteen trillion, four hundred one billion, one hundred eighty-four million, one hundred twenty-nine thousand, one hundred eighty-one".