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101437913413 is a prime number
BaseRepresentation
bin101111001111000101…
…0111011100101000101
3100200211101022220122001
41132132022323211011
53130221101212123
6114333330305301
710220504015614
oct1363612734505
9320741286561
10101437913413
113a02406a7a1
12177ab428231
1397476a4095
144ca400187b
15298a5bd0ad
hex179e2bb945

101437913413 has 2 divisors, whose sum is σ = 101437913414. Its totient is φ = 101437913412.

The previous prime is 101437913389. The next prime is 101437913461. The reversal of 101437913413 is 314319734101.

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., 100845623844 + 592289569 = 317562^2 + 24337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101437913413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101437913113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50718956706 + 50718956707.

It is an arithmetic number, because the mean of its divisors is an integer number (50718956707).

Almost surely, 2101437913413 is an apocalyptic number.

It is an amenable number.

101437913413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101437913413 is an equidigital number, since it uses as much as digits as its factorization.

101437913413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 101437913413 in words is "one hundred one billion, four hundred thirty-seven million, nine hundred thirteen thousand, four hundred thirteen".