Search a number
-
+
132033333031020 = 22325733518516839
BaseRepresentation
bin11110000001010101100111…
…111010011111000001101100
3122022111021002222211120010100
4132001111213322133001230
5114301213231223443040
61144451135325311100
736545044035252141
oct3601254772370154
9568437088746110
10132033333031020
1139085027437633
1212984b40105490
1358898c788a445
1424866399d03c8
15103e753ac9b30
hex781567e9f06c

132033333031020 has 36 divisors (see below), whose sum is σ = 400501110194640. Its totient is φ = 35208888808224.

The previous prime is 132033333031003. The next prime is 132033333031031. The reversal of 132033333031020 is 20130333330231.

132033333031020 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 3 + 333 + 303 + 1 + 0 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366759258240 + ... + 366759258599.

It is an arithmetic number, because the mean of its divisors is an integer number (11125030838740).

Almost surely, 2132033333031020 is an apocalyptic number.

132033333031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132033333031020 is an abundant number, since it is smaller than the sum of its proper divisors (268467777163620).

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

132033333031020 is a wasteful number, since it uses less digits than its factorization.

132033333031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733518516854 (or 733518516849 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 132033333031020 its reverse (20130333330231), we get a palindrome (152163666361251).

The spelling of 132033333031020 in words is "one hundred thirty-two trillion, thirty-three billion, three hundred thirty-three million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733518516839 1467037033678 2200555550517 2934074067356 3667592584195 4401111101034 6601666651551 7335185168390 8802222202068 11002777752585 13203333303102 14670370336780 22005555505170 26406666606204 33008333257755 44011111010340 66016666515510 132033333031020