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130404413141 is a prime number
BaseRepresentation
bin111100101110010110…
…1010110111011010101
3110110121002220120011022
41321130231112323111
54114032012210031
6135523523050525
712264354136262
oct1713455267325
9413532816138
10130404413141
1150338989772
1221334210a45
13c3b28cca52
14645109c269
1535d35e997b
hex1e5cb56ed5

130404413141 has 2 divisors, whose sum is σ = 130404413142. Its totient is φ = 130404413140.

The previous prime is 130404413137. The next prime is 130404413149. The reversal of 130404413141 is 141314404031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130359990916 + 44422225 = 361054^2 + 6665^2 .

It is a cyclic number.

It is not a de Polignac number, because 130404413141 - 22 = 130404413137 is a prime.

It is a super-2 number, since 2×1304044131412 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130404413141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (130404413149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65202206570 + 65202206571.

It is an arithmetic number, because the mean of its divisors is an integer number (65202206571).

Almost surely, 2130404413141 is an apocalyptic number.

It is an amenable number.

130404413141 is a deficient number, since it is larger than the sum of its proper divisors (1).

130404413141 is an equidigital number, since it uses as much as digits as its factorization.

130404413141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 130404413141 its reverse (141314404031), we get a palindrome (271718817172).

The spelling of 130404413141 in words is "one hundred thirty billion, four hundred four million, four hundred thirteen thousand, one hundred forty-one".