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101077358413 is a prime number
BaseRepresentation
bin101111000100010101…
…1100001011101001101
3100122220020212211011011
41132020223201131031
53124001300432123
6114233450325221
710205535241063
oct1361053413515
9318806784134
10101077358413
1139959596459
121770a729811
1396baa93825
144c6c188033
152968aebe0d
hex1788ae174d

101077358413 has 2 divisors, whose sum is σ = 101077358414. Its totient is φ = 101077358412.

The previous prime is 101077358353. The next prime is 101077358443. The reversal of 101077358413 is 314853770101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65128060804 + 35949297609 = 255202^2 + 189603^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101077358413 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101077358443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50538679206 + 50538679207.

It is an arithmetic number, because the mean of its divisors is an integer number (50538679207).

Almost surely, 2101077358413 is an apocalyptic number.

It is an amenable number.

101077358413 is a deficient number, since it is larger than the sum of its proper divisors (1).

101077358413 is an equidigital number, since it uses as much as digits as its factorization.

101077358413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 40.

The spelling of 101077358413 in words is "one hundred one billion, seventy-seven million, three hundred fifty-eight thousand, four hundred thirteen".