Search a number
-
+
106225031909 is a prime number
BaseRepresentation
bin110001011101110000…
…0010101101011100101
3101011012000010201200002
41202323200111223211
53220022102010114
6120444335031045
710450232605403
oct1427340255345
9334160121602
10106225031909
1141060296777
121870666b485
13a02b3b8389
1451d9aca473
152b6a9c37de
hex18bb815ae5

106225031909 has 2 divisors, whose sum is σ = 106225031910. Its totient is φ = 106225031908.

The previous prime is 106225031833. The next prime is 106225031971. The reversal of 106225031909 is 909130522601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78780139684 + 27444892225 = 280678^2 + 165665^2 .

It is a cyclic number.

It is not a de Polignac number, because 106225031909 - 212 = 106225027813 is a prime.

It is a super-2 number, since 2×1062250319092 (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 (106225031309) 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, 53112515954 + 53112515955.

It is an arithmetic number, because the mean of its divisors is an integer number (53112515955).

Almost surely, 2106225031909 is an apocalyptic number.

It is an amenable number.

106225031909 is a deficient number, since it is larger than the sum of its proper divisors (1).

106225031909 is an equidigital number, since it uses as much as digits as its factorization.

106225031909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 38.

The spelling of 106225031909 in words is "one hundred six billion, two hundred twenty-five million, thirty-one thousand, nine hundred nine".