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132723010212 = 223137113818677
BaseRepresentation
bin111101110011011101…
…0000110101010100100
3110200120200202111101220
41323212322012222210
54133304042311322
6140545550420340
712405666654432
oct1734672065244
9420520674356
10132723010212
1151318751aa1
12218808016b0
13c692086890
1465d0dabd52
1536bbe4155c
hex1ee6e86aa4

132723010212 has 96 divisors (see below), whose sum is σ = 338490319104. Its totient is φ = 40228876800.

The previous prime is 132723010207. The next prime is 132723010223. The reversal of 132723010212 is 212010327231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15291618 + ... + 15300294.

It is an arithmetic number, because the mean of its divisors is an integer number (3525940824).

Almost surely, 2132723010212 is an apocalyptic number.

132723010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132723010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169245159552).

132723010212 is an abundant number, since it is smaller than the sum of its proper divisors (205767308892).

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

132723010212 is a wasteful number, since it uses less digits than its factorization.

132723010212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10149 (or 10147 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 132723010212 its reverse (212010327231), we get a palindrome (344733337443).

The spelling of 132723010212 in words is "one hundred thirty-two billion, seven hundred twenty-three million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 71 78 142 156 213 284 426 852 923 1381 1846 2762 2769 3692 4143 5524 5538 8286 8677 11076 16572 17354 17953 26031 34708 35906 52062 53859 71812 98051 104124 107718 112801 196102 215436 225602 294153 338403 392204 451204 588306 616067 676806 1176612 1232134 1274663 1353612 1848201 2464268 2549326 3696402 3823989 5098652 7392804 7647978 8008871 11982937 15295956 16017742 23965874 24026613 32035484 35948811 47931748 48053226 71897622 96106452 143795244 155778181 311556362 467334543 623112724 850788527 934669086 1701577054 1869338172 2552365581 3403154108 5104731162 10209462324 11060250851 22120501702 33180752553 44241003404 66361505106 132723010212