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101816315413 is a prime number
BaseRepresentation
bin101111011010010111…
…0011010111000010101
3100201210202100201120221
41132310232122320111
53132004434043123
6114435044554341
710233050254501
oct1366456327025
9321722321527
10101816315413
113a1a872381a
12178960b29b1
1397a7bc2aa7
144cdc383301
1529ad91725d
hex17b4b9ae15

101816315413 has 2 divisors, whose sum is σ = 101816315414. Its totient is φ = 101816315412.

The previous prime is 101816315411. The next prime is 101816315437. The reversal of 101816315413 is 314513618101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101546107569 + 270207844 = 318663^2 + 16438^2 .

It is a cyclic number.

It is not a de Polignac number, because 101816315413 - 21 = 101816315411 is a prime.

Together with 101816315411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101816315411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50908157706 + 50908157707.

It is an arithmetic number, because the mean of its divisors is an integer number (50908157707).

Almost surely, 2101816315413 is an apocalyptic number.

It is an amenable number.

101816315413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101816315413 is an equidigital number, since it uses as much as digits as its factorization.

101816315413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 101816315413 in words is "one hundred one billion, eight hundred sixteen million, three hundred fifteen thousand, four hundred thirteen".