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132412314133341 = 321137266313574389
BaseRepresentation
bin11110000110110110100100…
…111100101010001101011101
3122100211111022211122022000100
4132012312210330222031131
5114323420404404231331
61145341213301451313
736614321403420114
oct3606664474521535
9570744284568010
10132412314133341
113921082438a010
1212a26488110b39
1358b65736c8208
14249ab0c440c7b
151049535091ae6
hex786da4f2a35d

132412314133341 has 48 divisors (see below), whose sum is σ = 214369373162880. Its totient is φ = 78051645048960.

The previous prime is 132412314133331. The next prime is 132412314133369. The reversal of 132412314133341 is 143331413214231.

132412314133341 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 1 + 2 + 314 + 1 + 3 + 334 + 1 = 666.

It is not a de Polignac number, because 132412314133341 - 221 = 132412312036189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132412314133296 and 132412314133305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132412314133301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2967375 + ... + 16541763.

It is an arithmetic number, because the mean of its divisors is an integer number (4466028607560).

Almost surely, 2132412314133341 is an apocalyptic number.

132412314133341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132412314133341 is a deficient number, since it is larger than the sum of its proper divisors (81957059029539).

132412314133341 is a wasteful number, since it uses less digits than its factorization.

132412314133341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13577106 (or 13577103 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

Adding to 132412314133341 its reverse (143331413214231), we get a palindrome (275743727347572).

The spelling of 132412314133341 in words is "one hundred thirty-two trillion, four hundred twelve billion, three hundred fourteen million, one hundred thirty-three thousand, three hundred forty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 2663 3663 7989 23967 29293 87879 98531 263637 295593 886779 1083841 3251523 9754569 13574389 40723167 122169501 149318279 447954837 502252393 1343864511 1506757179 4520271537 5524776323 16574328969 36148597907 49722986907 108445793721 325337381163 397634576977 1192903730931 1337498122559 3578711192793 4012494367677 12037483103031 14712479348149 44137438044447 132412314133341