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123332144232 = 23311467167213
BaseRepresentation
bin111001011011100101…
…0110010110001101000
3102210100020012002001210
41302313022302301220
54010041012103412
6132354043513120
711624166633423
oct1626712626150
9383306162053
10123332144232
1148339864430
121ba9b8287a0
13b82664264b
145d7dacc9ba
15331c7a783c
hex1cb72b2c68

123332144232 has 32 divisors (see below), whose sum is σ = 336360394080. Its totient is φ = 37373376960.

The previous prime is 123332144227. The next prime is 123332144233. The reversal of 123332144232 is 232441233321.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 123332144232.

It is not an unprimeable number, because it can be changed into a prime (123332144233) 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 7 ways as a sum of consecutive naturals, for example, 233583343 + ... + 233583870.

It is an arithmetic number, because the mean of its divisors is an integer number (10511262315).

Almost surely, 2123332144232 is an apocalyptic number.

123332144232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123332144232 is an abundant number, since it is smaller than the sum of its proper divisors (213028249848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123332144232 is a wasteful number, since it uses less digits than its factorization.

123332144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467167233 (or 467167229 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

Adding to 123332144232 its reverse (232441233321), we get a palindrome (355773377553).

The spelling of 123332144232 in words is "one hundred twenty-three billion, three hundred thirty-two million, one hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 467167213 934334426 1401501639 1868668852 2803003278 3737337704 5138839343 5606006556 10277678686 11212013112 15416518029 20555357372 30833036058 41110714744 61666072116 123332144232