Search a number
-
+
163819201901 is a prime number
BaseRepresentation
bin1001100010010001100…
…0101010010101101101
3120122211211201201002012
42120210120222111231
510141000203430101
6203131342011005
714556410145425
oct2304430522555
9518754651065
10163819201901
116352573a073
12278ba876a65
13125a95980c4
147d00c43485
1543dbdecbbb
hex262462a56d

163819201901 has 2 divisors, whose sum is σ = 163819201902. Its totient is φ = 163819201900.

The previous prime is 163819201877. The next prime is 163819201939. The reversal of 163819201901 is 109102918361.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 152372341801 + 11446860100 = 390349^2 + 106990^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-163819201901 is a prime.

It is a super-2 number, since 2×1638192019012 (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 (163819201991) 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, 81909600950 + 81909600951.

It is an arithmetic number, because the mean of its divisors is an integer number (81909600951).

Almost surely, 2163819201901 is an apocalyptic number.

It is an amenable number.

163819201901 is a deficient number, since it is larger than the sum of its proper divisors (1).

163819201901 is an equidigital number, since it uses as much as digits as its factorization.

163819201901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 41.

The spelling of 163819201901 in words is "one hundred sixty-three billion, eight hundred nineteen million, two hundred one thousand, nine hundred one".