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123000320232 = 2334189815309
BaseRepresentation
bin111001010001101100…
…0111111000011101000
3102202111002210200010000
41302203120333003220
54003401040221412
6132301111423000
711613030320466
oct1624330770350
9382432720100
10123000320232
1148189524119
121ba08684a60
13b7a298159a
145d4b9d3836
1532ed5ae4dc
hex1ca363f0e8

123000320232 has 40 divisors (see below), whose sum is σ = 344514787650. Its totient is φ = 41000106528.

The previous prime is 123000320203. The next prime is 123000320239. The reversal of 123000320232 is 232023000321.

It is a happy number.

123000320232 is a `hidden beast` number, since 12 + 300 + 0 + 320 + 2 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 115699301316 + 7301018916 = 340146^2 + 85446^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (123000320239) 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 9 ways as a sum of consecutive naturals, for example, 94907007 + ... + 94908302.

Almost surely, 2123000320232 is an apocalyptic number.

123000320232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123000320232 is an abundant number, since it is smaller than the sum of its proper divisors (221514467418).

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

123000320232 is a wasteful number, since it uses less digits than its factorization.

123000320232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189815327 (or 189815314 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 123000320232 its reverse (232023000321), we get a palindrome (355023320553).

The spelling of 123000320232 in words is "one hundred twenty-three billion, three hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 189815309 379630618 569445927 759261236 1138891854 1518522472 1708337781 2277783708 3416675562 4555567416 5125013343 6833351124 10250026686 13666702248 15375040029 20500053372 30750080058 41000106744 61500160116 123000320232