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132300123012 = 2234408333713
BaseRepresentation
bin111101100110110110…
…0111010101110000100
3110122111020000121020000
41323031230322232010
54131422312414022
6140440002441300
712362343330231
oct1731554725604
9418436017200
10132300123012
1151120a74642
1221783063230
13c625590975
146590b6a788
153694c5b6ac
hex1ecdb3ab84

132300123012 has 30 divisors (see below), whose sum is σ = 345858655758. Its totient is φ = 44100040896.

The previous prime is 132300123001. The next prime is 132300123013. The reversal of 132300123012 is 210321003231.

132300123012 is a `hidden beast` number, since 132 + 300 + 1 + 230 + 1 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 116816302656 + 15483820356 = 341784^2 + 124434^2 .

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 (132300123013) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 204166533 + ... + 204167180.

Almost surely, 2132300123012 is an apocalyptic number.

132300123012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132300123012 is an abundant number, since it is smaller than the sum of its proper divisors (213558532746).

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

132300123012 is a wasteful number, since it uses less digits than its factorization.

132300123012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408333729 (or 408333718 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132300123012 its reverse (210321003231), we get a palindrome (342621126243).

The spelling of 132300123012 in words is "one hundred thirty-two billion, three hundred million, one hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 408333713 816667426 1225001139 1633334852 2450002278 3675003417 4900004556 7350006834 11025010251 14700013668 22050020502 33075030753 44100041004 66150061506 132300123012