Search a number
-
+
132301033320321 = 3367652111215289
BaseRepresentation
bin11110000101001110111100…
…000110000010111110000001
3122100102212002111011021111000
4132011032330012002332001
5114320110004012222241
61145214131115442213
736603301640210655
oct3605167406027601
9570385074137430
10132301033320321
113917860a257148
1212a089b0456369
1358a8c1aa506a8
1424955930d2a65
1510466c07e8eb6
hex7853bc182f81

132301033320321 has 32 divisors (see below), whose sum is σ = 198957450153600. Its totient is φ = 86870929178880.

The previous prime is 132301033320319. The next prime is 132301033320343. The reversal of 132301033320321 is 123023330103231.

132301033320321 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 1 + 0 + 3 + 332 + 0 + 321 = 666.

It is not a de Polignac number, because 132301033320321 - 21 = 132301033320319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132301033320371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6188845 + ... + 17404133.

It is an arithmetic number, because the mean of its divisors is an integer number (6217420317300).

Almost surely, 2132301033320321 is an apocalyptic number.

It is an amenable number.

132301033320321 is a deficient number, since it is larger than the sum of its proper divisors (66656416833279).

132301033320321 is a wasteful number, since it uses less digits than its factorization.

132301033320321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11221886 (or 11221880 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 132301033320321 its reverse (123023330103231), we get a palindrome (255324363423552).

The spelling of 132301033320321 in words is "one hundred thirty-two trillion, three hundred one billion, thirty-three million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 67 201 603 1809 6521 19563 58689 176067 436907 1310721 3932163 11215289 11796489 33645867 100937601 302812803 751424363 2254273089 6762819267 20288457801 73134899569 219404698707 658214096121 1974642288363 4900038271123 14700114813369 44100344440107 132301033320321