Search a number
-
+
123009769 is a prime number
BaseRepresentation
bin1110101010011…
…11101011101001
322120110112200101
413111033223221
5222442303034
620112305401
73022365031
oct725175351
9276415611
10123009769
1163488073
1235242261
131c63bb5c
14124a08c1
15abec514
hex754fae9

123009769 has 2 divisors, whose sum is σ = 123009770. Its totient is φ = 123009768.

The previous prime is 123009751. The next prime is 123009779. The reversal of 123009769 is 967900321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120187369 + 2822400 = 10963^2 + 1680^2 .

It is a cyclic number.

It is not a de Polignac number, because 123009769 - 25 = 123009737 is a prime.

It is a super-2 number, since 2×1230097692 = 30262806538866722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123009779) 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, 61504884 + 61504885.

It is an arithmetic number, because the mean of its divisors is an integer number (61504885).

Almost surely, 2123009769 is an apocalyptic number.

It is an amenable number.

123009769 is a deficient number, since it is larger than the sum of its proper divisors (1).

123009769 is an equidigital number, since it uses as much as digits as its factorization.

123009769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20412, while the sum is 37.

The square root of 123009769 is about 11090.9769181980. The cubic root of 123009769 is about 497.3321491278.

The spelling of 123009769 in words is "one hundred twenty-three million, nine thousand, seven hundred sixty-nine".