Search a number
-
+
123113122301 = 1389106407193
BaseRepresentation
bin111001010101000011…
…1010010100111111101
3102202202222001121110102
41302222013102213331
54004113424403201
6132320221250445
711615600162501
oct1625207224775
9382688047412
10123113122301
1148237169a74
121ba3a403a25
13b7c0158180
145d5c998301
15330844226b
hex1caa1d29fd

123113122301 has 8 divisors (see below), whose sum is σ = 134073064440. Its totient is φ = 112365994752.

The previous prime is 123113122289. The next prime is 123113122331. The reversal of 123113122301 is 103221311321.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8005596676 + 115107525625 = 89474^2 + 339275^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123113122301 - 226 = 123046013437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123113122331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53202440 + ... + 53204753.

It is an arithmetic number, because the mean of its divisors is an integer number (16759133055).

Almost surely, 2123113122301 is an apocalyptic number.

It is an amenable number.

123113122301 is a deficient number, since it is larger than the sum of its proper divisors (10959942139).

123113122301 is a wasteful number, since it uses less digits than its factorization.

123113122301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106407295.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 123113122301 its reverse (103221311321), we get a palindrome (226334433622).

The spelling of 123113122301 in words is "one hundred twenty-three billion, one hundred thirteen million, one hundred twenty-two thousand, three hundred one".

Divisors: 1 13 89 1157 106407193 1383293509 9470240177 123113122301