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132311006521533 = 32723974203118423
BaseRepresentation
bin11110000101011000001110…
…100010110010100010111101
3122100110210211112111101120200
4132011120032202302202331
5114320240420132142113
61145222500504034113
736604104041056230
oct3605301642624275
9570423745441520
10132311006521533
11391818679278a4
1212a0a914462939
1358a9b4a016c98
142495c5b87b417
151046aa6161873
hex78560e8b28bd

132311006521533 has 48 divisors (see below), whose sum is σ = 219336861020160. Its totient is φ = 75288294722592.

The previous prime is 132311006521531. The next prime is 132311006521627. The reversal of 132311006521533 is 335125600113231.

132311006521533 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 110 + 0 + 6 + 5 + 2 + 1 + 533 = 666.

It is not a de Polignac number, because 132311006521533 - 21 = 132311006521531 is a prime.

It is a super-2 number, since 2×1323110065215332 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311006521531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117215360 + ... + 1117333782.

It is an arithmetic number, because the mean of its divisors is an integer number (4569517937920).

Almost surely, 2132311006521533 is an apocalyptic number.

It is an amenable number.

132311006521533 is a deficient number, since it is larger than the sum of its proper divisors (87025854498627).

132311006521533 is a wasteful number, since it uses less digits than its factorization.

132311006521533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192878 (or 192875 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

Adding to 132311006521533 its reverse (335125600113231), we get a palindrome (467436606634764).

The spelling of 132311006521533 in words is "one hundred thirty-two trillion, three hundred eleven billion, six million, five hundred twenty-one thousand, five hundred thirty-three".

Divisors: 1 3 7 9 21 63 239 717 1673 2151 5019 15057 74203 118423 222609 355269 519421 667827 828961 1065807 1558263 2486883 4674789 7460649 17734517 28303097 53203551 84909291 124141619 159610653 198121679 254727873 372424857 594365037 1117274571 1783095111 8787341869 26362025607 61511393083 79086076821 184534179249 553602537747 2100174706691 6300524120073 14701222946837 18901572360219 44103668840511 132311006521533