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132232032021012 = 2237211101202416209
BaseRepresentation
bin11110000100001110101011…
…010010111110101000010100
3122100012020222200001002101220
4132010032223102332220110
5114312442200144133022
61145122320142250340
736565310010641100
oct3604165322765024
9570166880032356
10132232032021012
1139151320880750
12129b7553b869b0
1358a25724a99c1
1424920c8daa900
1510449d2c0e85c
hex7843ab4bea14

132232032021012 has 144 divisors (see below), whose sum is σ = 395420875899840. Its totient is φ = 34005922944000.

The previous prime is 132232032020947. The next prime is 132232032021017. The reversal of 132232032021012 is 210120230232231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132232032021017) 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, 100554837 + ... + 101861372.

It is an arithmetic number, because the mean of its divisors is an integer number (2745978304860).

Almost surely, 2132232032021012 is an apocalyptic number.

132232032021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132232032021012 is an abundant number, since it is smaller than the sum of its proper divisors (263188843878828).

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

132232032021012 is a wasteful number, since it uses less digits than its factorization.

132232032021012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202416342 (or 202416333 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132232032021012 its reverse (210120230232231), we get a palindrome (342352262253243).

The spelling of 132232032021012 in words is "one hundred thirty-two trillion, two hundred thirty-two billion, thirty-two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 101 132 147 154 196 202 231 294 303 308 404 462 539 588 606 707 924 1078 1111 1212 1414 1617 2121 2156 2222 2828 3234 3333 4242 4444 4949 6468 6666 7777 8484 9898 13332 14847 15554 19796 23331 29694 31108 46662 54439 59388 93324 108878 163317 217756 326634 653268 202416209 404832418 607248627 809664836 1214497254 1416913463 2226578299 2428994508 2833826926 4250740389 4453156598 5667653852 6679734897 8501480778 8906313196 9918394241 13359469794 15586048093 17002961556 19836788482 20444037109 26718939588 29755182723 31172096186 39673576964 40888074218 46758144279 59510365446 61332111327 62344192372 81776148436 93516288558 109102336651 119020730892 122664222654 143108259763 187032577116 218204673302 224884408199 245328445308 286216519526 327307009953 429324779289 436409346604 449768816398 572433039052 654614019906 674653224597 858649558578 899537632796 1001757818341 1309228039812 1349306449194 1574190857393 1717299117156 2003515636682 2698612898388 3005273455023 3148381714786 4007031273364 4722572572179 6010546910046 6296763429572 9445145144358 11019336001751 12021093820092 18890290288716 22038672003502 33058008005253 44077344007004 66116016010506 132232032021012