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132352021330035 = 3513347240114057
BaseRepresentation
bin11110000101111110011011…
…001101110111100001110011
3122100121201200221002112122020
4132011332123031313201303
5114321423414430030120
61145253402413442523
736610055320145343
oct3605763315674163
9570551627075566
10132352021330035
11391981a46a3551
1212a168601a0443
1358b09853bcb40
142497c2cb2cd23
151047ba6ca2640
hex785f9b377873

132352021330035 has 96 divisors (see below), whose sum is σ = 229298484647232. Its totient is φ = 64803512524800.

The previous prime is 132352021330033. The next prime is 132352021330049. The reversal of 132352021330035 is 530033120253231.

It is a happy number.

It is not a de Polignac number, because 132352021330035 - 21 = 132352021330033 is a prime.

It is a super-2 number, since 2×1323520213300352 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132352021329978 and 132352021330005.

It is not an unprimeable number, because it can be changed into a prime (132352021330033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9415374727 + ... + 9415388783.

It is an arithmetic number, because the mean of its divisors is an integer number (2388525881742).

Almost surely, 2132352021330035 is an apocalyptic number.

132352021330035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132352021330035 is a deficient number, since it is larger than the sum of its proper divisors (96946463317197).

132352021330035 is a wasteful number, since it uses less digits than its factorization.

132352021330035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15173 (or 14826 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 33.

Adding to 132352021330035 its reverse (530033120253231), we get a palindrome (662385141583266).

The spelling of 132352021330035 in words is "one hundred thirty-two trillion, three hundred fifty-two billion, twenty-one million, three hundred thirty thousand, thirty-five".

Divisors: 1 3 5 13 15 39 65 195 347 401 1041 1203 1735 2005 4511 5205 5213 6015 13533 14057 15639 22555 26065 42171 67665 70285 78195 120409 139147 182741 210855 361227 417441 548223 602045 695735 913705 1565317 1806135 1808911 2087205 2741115 4695951 4877779 5426733 5636857 7826585 9044555 14633337 16910571 23479755 24388895 27133665 28184285 48284009 63411127 73166685 73279141 84552855 144852027 190233381 219837423 241420045 317055635 366395705 627692117 724260135 951166905 1099187115 1692589313 1883076351 1955989379 3138460585 5077767939 5867968137 8462946565 9415381755 9779946895 22003661069 25388839695 25427861927 29339840685 66010983207 76283585781 110018305345 127139309635 330054916035 381417928905 678728314513 2036184943539 3393641572565 8823468088669 10180924717695 26470404266007 44117340443345 132352021330035