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132132313124 = 227101467100049
BaseRepresentation
bin111101100001110110…
…0110001100000100100
3110122001112020222022222
41323003230301200210
54131101333004444
6140411210011512
712355235062460
oct1730354614044
9418045228288
10132132313124
1151045278589
1221736a16b98
13c5c9897486
1465767674a0
15368515eeee
hex1ec3b31824

132132313124 has 48 divisors (see below), whose sum is σ = 267455260800. Its totient is φ = 55946841600.

The previous prime is 132132313123. The next prime is 132132313193. The reversal of 132132313124 is 421313231231.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 132132313093 and 132132313102.

It is not an unprimeable number, because it can be changed into a prime (132132313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1270652 + ... + 1370700.

It is an arithmetic number, because the mean of its divisors is an integer number (5571984600).

Almost surely, 2132132313124 is an apocalyptic number.

132132313124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132132313124 is an abundant number, since it is smaller than the sum of its proper divisors (135322947676).

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

132132313124 is a wasteful number, since it uses less digits than its factorization.

132132313124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100628 (or 100626 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

Adding to 132132313124 its reverse (421313231231), we get a palindrome (553445544355).

The spelling of 132132313124 in words is "one hundred thirty-two billion, one hundred thirty-two million, three hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 4 7 14 28 101 202 404 467 707 934 1414 1868 2828 3269 6538 13076 47167 94334 100049 188668 200098 330169 400196 660338 700343 1320676 1400686 2801372 10104949 20209898 40419796 46722883 70734643 93445766 141469286 186891532 282938572 327060181 654120362 1308240724 4719011183 9438022366 18876044732 33033078281 66066156562 132132313124