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132213121033020 = 22352341941286637
BaseRepresentation
bin11110000011111101000100…
…000111010010001100111100
3122100010110011201200100210020
4132003331010013102030330
5114312134432441024040
61145105511434212140
736564040251124236
oct3603750407221474
9570113151610706
10132213121033020
11391442a7041555
12129b3956884050
1358a084a606591
1424912135a3256
1510442778a8cd0
hex783f441d233c

132213121033020 has 48 divisors (see below), whose sum is σ = 370354875440928. Its totient is φ = 35241771651840.

The previous prime is 132213121032997. The next prime is 132213121033027. The reversal of 132213121033020 is 20330121312231.

It is a super-3 number, since 3×1322131210330203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132213121033027) 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 15 ways as a sum of consecutive naturals, for example, 470502859 + ... + 470783778.

It is an arithmetic number, because the mean of its divisors is an integer number (7715726571686).

Almost surely, 2132213121033020 is an apocalyptic number.

132213121033020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213121033020 is an abundant number, since it is smaller than the sum of its proper divisors (238141754407908).

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

132213121033020 is a wasteful number, since it uses less digits than its factorization.

132213121033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941288990 (or 941288988 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 132213121033020 its reverse (20330121312231), we get a palindrome (152543242345251).

The spelling of 132213121033020 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twenty-one million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2341 4682 7023 9364 11705 14046 23410 28092 35115 46820 70230 140460 941286637 1882573274 2823859911 3765146548 4706433185 5647719822 9412866370 11295439644 14119299555 18825732740 28238599110 56477198220 2203552017217 4407104034434 6610656051651 8814208068868 11017760086085 13221312103302 22035520172170 26442624206604 33053280258255 44071040344340 66106560516510 132213121033020