Search a number
-
+
123123033231 = 3117195189153
BaseRepresentation
bin111001010101010110…
…1000110010010001111
3102202210122201010200220
41302222231012102033
54004123444030411
6132321213522423
711616050341362
oct1625255062217
9382718633626
10123123033231
1148241819220
121ba417a3413
13b7c2218323
145d600180d9
15330924db06
hex1caab4648f

123123033231 has 16 divisors (see below), whose sum is σ = 179337162240. Its totient is φ = 74516222720.

The previous prime is 123123033227. The next prime is 123123033283. The reversal of 123123033231 is 132330321321.

It is a cyclic number.

It is not a de Polignac number, because 123123033231 - 22 = 123123033227 is a prime.

It is a super-2 number, since 2×1231230332312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123123037231) 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 in 15 ways as a sum of consecutive naturals, for example, 2570850 + ... + 2618303.

It is an arithmetic number, because the mean of its divisors is an integer number (11208572640).

Almost surely, 2123123033231 is an apocalyptic number.

123123033231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123123033231 is a deficient number, since it is larger than the sum of its proper divisors (56214129009).

123123033231 is a wasteful number, since it uses less digits than its factorization.

123123033231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5189886.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 123123033231 its reverse (132330321321), we get a palindrome (255453354552).

The spelling of 123123033231 in words is "one hundred twenty-three billion, one hundred twenty-three million, thirty-three thousand, two hundred thirty-one".

Divisors: 1 3 11 33 719 2157 7909 23727 5189153 15567459 57080683 171242049 3731001007 11193003021 41041011077 123123033231