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132131323122 = 231011019213973
BaseRepresentation
bin111101100001110100…
…0111111110011110010
3110122001110101200022020
41323003220333303302
54131101104314442
6140411132452310
712355223500251
oct1730350776362
9418043350266
10132131323122
11510447617a7
122173661a096
13c5c960b986
14657658a798
1536850169ec
hex1ec3a3fcf2

132131323122 has 32 divisors (see below), whose sum is σ = 267142259520. Its totient is φ = 43564699200.

The previous prime is 132131323067. The next prime is 132131323127. The reversal of 132131323122 is 221323131231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132131323092 and 132131323101.

It is not an unprimeable number, because it can be changed into a prime (132131323127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510528 + ... + 724500.

It is an arithmetic number, because the mean of its divisors is an integer number (8348195610).

Almost surely, 2132131323122 is an apocalyptic number.

132131323122 is an abundant number, since it is smaller than the sum of its proper divisors (135010936398).

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

132131323122 is a wasteful number, since it uses less digits than its factorization.

132131323122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215098.

The product of its digits is 1296, while the sum is 24.

Adding to 132131323122 its reverse (221323131231), we get a palindrome (353454454353).

The spelling of 132131323122 in words is "one hundred thirty-two billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 101 202 303 606 1019 2038 3057 6114 102919 205838 213973 308757 427946 617514 641919 1283838 21611273 43222546 64833819 129667638 218038487 436076974 654115461 1308230922 22021887187 44043774374 66065661561 132131323122