Search a number
-
+
100401143413 is a prime number
BaseRepresentation
bin101110110000001011…
…1111101111001110101
3100121011010110112120011
41131200113331321311
53121110143042123
6114042412540221
710153014431554
oct1354027757165
9317133415504
10100401143413
113964191208a
1217560181671
1396109615cc
144c06441d9b
152929576e0d
hex17605fde75

100401143413 has 2 divisors, whose sum is σ = 100401143414. Its totient is φ = 100401143412.

The previous prime is 100401143399. The next prime is 100401143431. The reversal of 100401143413 is 314341104001.

It is a happy number.

Together with next prime (100401143431) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69517650244 + 30883493169 = 263662^2 + 175737^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100401143413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100401141413) 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, 50200571706 + 50200571707.

It is an arithmetic number, because the mean of its divisors is an integer number (50200571707).

Almost surely, 2100401143413 is an apocalyptic number.

It is an amenable number.

100401143413 is a deficient number, since it is larger than the sum of its proper divisors (1).

100401143413 is an equidigital number, since it uses as much as digits as its factorization.

100401143413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100401143413 its reverse (314341104001), we get a palindrome (414742247414).

The spelling of 100401143413 in words is "one hundred billion, four hundred one million, one hundred forty-three thousand, four hundred thirteen".