Search a number
-
+
104468744381 is a prime number
BaseRepresentation
bin110000101001011010…
…0101000100010111101
3100222122121101002002212
41201102310220202331
53202422444310011
6115554155430205
710355555450531
oct1412264504275
9328577332085
10104468744381
1140339978981
12182b6455365
139b0b5918a1
1450b0751bc1
152ab670208b
hex1852d288bd

104468744381 has 2 divisors, whose sum is σ = 104468744382. Its totient is φ = 104468744380.

The previous prime is 104468744377. The next prime is 104468744417. The reversal of 104468744381 is 183447864401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 87429619225 + 17039125156 = 295685^2 + 130534^2 .

It is an emirp because it is prime and its reverse (183447864401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 104468744381 - 22 = 104468744377 is a prime.

It is a super-2 number, since 2×1044687443812 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104468744321) 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, 52234372190 + 52234372191.

It is an arithmetic number, because the mean of its divisors is an integer number (52234372191).

Almost surely, 2104468744381 is an apocalyptic number.

It is an amenable number.

104468744381 is a deficient number, since it is larger than the sum of its proper divisors (1).

104468744381 is an equidigital number, since it uses as much as digits as its factorization.

104468744381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2064384, while the sum is 50.

The spelling of 104468744381 in words is "one hundred four billion, four hundred sixty-eight million, seven hundred forty-four thousand, three hundred eighty-one".