Search a number
-
+
93919002101 is a prime number
BaseRepresentation
bin101011101111000000…
…0100011110111110101
322222102101011122100022
41113132000203313311
53014321231031401
6111051254054525
76533254226441
oct1273600436765
9288371148308
1093919002101
1136915912401
121625134a445
138b19a24332
14478d5a9821
15269a45271b
hex15de023df5

93919002101 has 2 divisors, whose sum is σ = 93919002102. Its totient is φ = 93919002100.

The previous prime is 93919002083. The next prime is 93919002113. The reversal of 93919002101 is 10120091939.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54744300625 + 39174701476 = 233975^2 + 197926^2 .

It is an emirp because it is prime and its reverse (10120091939) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-93919002101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (93919002601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 46959501050 + 46959501051.

It is an arithmetic number, because the mean of its divisors is an integer number (46959501051).

Almost surely, 293919002101 is an apocalyptic number.

It is an amenable number.

93919002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

93919002101 is an equidigital number, since it uses as much as digits as its factorization.

93919002101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 35.

The spelling of 93919002101 in words is "ninety-three billion, nine hundred nineteen million, two thousand, one hundred one".