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15914478101 is a prime number
BaseRepresentation
bin11101101001001001…
…11010101000010101
31112002002220020210212
432310210322220111
5230043101244401
611151102255205
71102242555224
oct166444725025
945062806725
1015914478101
116827342a45
123101887505
131668141662
14aad86ccbb
15632250dbb
hex3b493aa15

15914478101 has 2 divisors, whose sum is σ = 15914478102. Its totient is φ = 15914478100.

The previous prime is 15914478061. The next prime is 15914478163. The reversal of 15914478101 is 10187441951.

15914478101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9800802001 + 6113676100 = 98999^2 + 78190^2 .

It is an emirp because it is prime and its reverse (10187441951) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 15914478101 - 210 = 15914477077 is a prime.

It is a super-2 number, since 2×159144781012 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (15914418101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7957239050 + 7957239051.

It is an arithmetic number, because the mean of its divisors is an integer number (7957239051).

Almost surely, 215914478101 is an apocalyptic number.

It is an amenable number.

15914478101 is a deficient number, since it is larger than the sum of its proper divisors (1).

15914478101 is an equidigital number, since it uses as much as digits as its factorization.

15914478101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 41.

The spelling of 15914478101 in words is "fifteen billion, nine hundred fourteen million, four hundred seventy-eight thousand, one hundred one".