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12133132323 = 31310119116127
BaseRepresentation
bin10110100110011000…
…01110100000100011
31011022120121222120020
423103030032200203
5144322040213243
65323543044523
7606445631424
oct132314164043
934276558506
1012133132323
115166922994
122427440743
1311b4908c50
1483159564b
154b02bc283
hex2d330e823

12133132323 has 32 divisors (see below), whose sum is σ = 17687642112. Its totient is φ = 7353456000.

The previous prime is 12133132307. The next prime is 12133132351. The reversal of 12133132323 is 32323133121.

It is not a de Polignac number, because 12133132323 - 24 = 12133132307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12133132293 and 12133132302.

It is not an unprimeable number, because it can be changed into a prime (12133132223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744286 + ... + 760412.

It is an arithmetic number, because the mean of its divisors is an integer number (552738816).

Almost surely, 212133132323 is an apocalyptic number.

12133132323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12133132323 is a deficient number, since it is larger than the sum of its proper divisors (5554509789).

12133132323 is a wasteful number, since it uses less digits than its factorization.

12133132323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16435.

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

Adding to 12133132323 its reverse (32323133121), we get a palindrome (44456265444).

The spelling of 12133132323 in words is "twelve billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred twenty-three".

Divisors: 1 3 13 39 101 191 303 573 1313 2483 3939 7449 16127 19291 48381 57873 209651 250783 628953 752349 1628827 3080257 4886481 9240771 21174751 40043341 63524253 120130023 311105957 933317871 4044377441 12133132323