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101041401413 is a prime number
BaseRepresentation
bin101111000011010001…
…0010110111001000101
3100122210202020000102102
41132012202112321011
53123413044321123
6114230123521445
710204620512141
oct1360642267105
9318722200372
10101041401413
1139940267427
12176ba689285
1396b34b42b4
144c674a8221
152965898028
hex1786896e45

101041401413 has 2 divisors, whose sum is σ = 101041401414. Its totient is φ = 101041401412.

The previous prime is 101041401401. The next prime is 101041401449. The reversal of 101041401413 is 314104140101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96965600449 + 4075800964 = 311393^2 + 63842^2 .

It is a cyclic number.

It is not a de Polignac number, because 101041401413 - 228 = 100772965957 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101041401463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50520700706 + 50520700707.

It is an arithmetic number, because the mean of its divisors is an integer number (50520700707).

Almost surely, 2101041401413 is an apocalyptic number.

It is an amenable number.

101041401413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101041401413 is an equidigital number, since it uses as much as digits as its factorization.

101041401413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 101041401413 its reverse (314104140101), we get a palindrome (415145541514).

The spelling of 101041401413 in words is "one hundred one billion, forty-one million, four hundred one thousand, four hundred thirteen".