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132260123623120 = 2453761732499577
BaseRepresentation
bin11110000100101000110101…
…101011111011111011010000
3122100021221111102100100000121
4132010220311223323323100
5114313422213121414440
61145143243443000024
736600323105422513
oct3604506553737320
9570257442310017
10132260123623120
1139162226853139
1212a00a93969014
1358a50cb38a97c
1424935d1ba2d7a
1510455c901c34a
hex784a35afbed0

132260123623120 has 80 divisors (see below), whose sum is σ = 320993035072848. Its totient is φ = 50630370693120.

The previous prime is 132260123623091. The next prime is 132260123623129. The reversal of 132260123623120 is 21326321062231.

It can be written as a sum of positive squares in 8 ways, for example, as 13642060442256 + 118618063180864 = 3693516^2 + 10891192^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132260123623129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366069229 + ... + 366430348.

Almost surely, 2132260123623120 is an apocalyptic number.

132260123623120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132260123623120 is an abundant number, since it is smaller than the sum of its proper divisors (188732911449728).

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

132260123623120 is a wasteful number, since it uses less digits than its factorization.

132260123623120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732499688 (or 732499682 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

Adding to 132260123623120 its reverse (21326321062231), we get a palindrome (153586444685351).

The spelling of 132260123623120 in words is "one hundred thirty-two trillion, two hundred sixty billion, one hundred twenty-three million, six hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1480 2257 2440 2960 4514 4880 9028 11285 18056 22570 36112 45140 90280 180560 732499577 1464999154 2929998308 3662497885 5859996616 7324995770 11719993232 14649991540 27102484349 29299983080 44682474197 54204968698 58599966160 89364948394 108409937396 135512421745 178729896788 216819874792 223412370985 271024843490 357459793576 433639749584 446824741970 542049686980 714919587152 893649483940 1084099373960 1653251545289 1787298967880 2168198747920 3306503090578 3574597935760 6613006181156 8266257726445 13226012362312 16532515452890 26452024724624 33065030905780 66130061811560 132260123623120