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132330221334 = 23241736134007
BaseRepresentation
bin111101100111101111…
…1101110111100010110
3110122120022122202100200
41323033133232330112
54132003014040314
6140442555521330
712363160215363
oct1731737567426
9418508582320
10132330221334
1151136a61993
1221791159246
13c62b89b61c
146594b6346a
153697704709
hex1ecf7eef16

132330221334 has 96 divisors (see below), whose sum is σ = 298292065344. Its totient is φ = 42364892160.

The previous prime is 132330221333. The next prime is 132330221341. The reversal of 132330221334 is 433122033231.

132330221334 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 302 + 21 + 334 = 666.

It is a super-2 number, since 2×1323302213342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132330221298 and 132330221307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132330221333) 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, 33022759 + ... + 33026765.

It is an arithmetic number, because the mean of its divisors is an integer number (3107209014).

Almost surely, 2132330221334 is an apocalyptic number.

132330221334 is an abundant number, since it is smaller than the sum of its proper divisors (165961844010).

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

132330221334 is a wasteful number, since it uses less digits than its factorization.

132330221334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 132330221334 its reverse (433122033231), we get a palindrome (565452254565).

The spelling of 132330221334 in words is "one hundred thirty-two billion, three hundred thirty million, two hundred twenty-one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 41 73 82 123 146 219 246 369 438 613 657 738 1226 1314 1839 2993 3678 4007 5517 5986 8014 8979 11034 12021 17958 24042 25133 26937 36063 44749 50266 53874 72126 75399 89498 134247 150798 164287 226197 268494 292511 328574 402741 452394 492861 585022 805482 877533 985722 1478583 1755066 1834709 2456291 2632599 2957166 3669418 4912582 5265198 5504127 7368873 11008254 11992951 14737746 16512381 22106619 23985902 33024762 35978853 44213238 71957706 100707931 107936559 179309243 201415862 215873118 302123793 358618486 537927729 604247586 906371379 1075855458 1613783187 1812742758 3227566374 7351678963 14703357926 22055036889 44110073778 66165110667 132330221334