Search a number
-
+
123011122309 is a prime number
BaseRepresentation
bin111001010010000001…
…0001100010010000101
3102202111212010110202221
41302210002030102011
54003411321403214
6132302135132341
711613221200435
oct1624402142205
9382455113687
10123011122309
1148194631959
121ba102140b1
13b7a4c9424a
145d4d2062c5
1532ee4e4e24
hex1ca408c485

123011122309 has 2 divisors, whose sum is σ = 123011122310. Its totient is φ = 123011122308.

The previous prime is 123011122261. The next prime is 123011122313. The reversal of 123011122309 is 903221110321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93694149025 + 29316973284 = 306095^2 + 171222^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-123011122309 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123011122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505561154 + 61505561155.

It is an arithmetic number, because the mean of its divisors is an integer number (61505561155).

Almost surely, 2123011122309 is an apocalyptic number.

It is an amenable number.

123011122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

123011122309 is an equidigital number, since it uses as much as digits as its factorization.

123011122309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 25.

The spelling of 123011122309 in words is "one hundred twenty-three billion, eleven million, one hundred twenty-two thousand, three hundred nine".