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132233123133132 = 22371574203846823
BaseRepresentation
bin11110000100001111101100…
…010101001111011011001100
3122100012100210201011022211220
4132010033230111033123030
5114313001414010230012
61145123020320443340
736565346030146020
oct3604175425173314
9570170721138756
10132233123133132
11391518307753aa
12129b77b9479550
1358a26b7568088
14249218dc74380
151044a488dc08c
hex7843ec54f6cc

132233123133132 has 24 divisors (see below), whose sum is σ = 352621661688576. Its totient is φ = 37780892323728.

The previous prime is 132233123132987. The next prime is 132233123133197. The reversal of 132233123133132 is 231331321332231.

132233123133132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1322331231331322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132233123133093 and 132233123133102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 787101923328 + ... + 787101923495.

It is an arithmetic number, because the mean of its divisors is an integer number (14692569237024).

Almost surely, 2132233123133132 is an apocalyptic number.

132233123133132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132233123133132 is an abundant number, since it is smaller than the sum of its proper divisors (220388538555444).

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

132233123133132 is a wasteful number, since it uses less digits than its factorization.

132233123133132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574203846837 (or 1574203846835 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

Adding to 132233123133132 its reverse (231331321332231), we get a palindrome (363564444465363).

The spelling of 132233123133132 in words is "one hundred thirty-two trillion, two hundred thirty-three billion, one hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1574203846823 3148407693646 4722611540469 6296815387292 9445223080938 11019426927761 18890446161876 22038853855522 33058280783283 44077707711044 66116561566566 132233123133132