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133321132332 = 22333473557507
BaseRepresentation
bin111110000101010001…
…1110000100100101100
3110202010101020020201000
41330022203300210230
54141020202213312
6141125154320300
712426551632623
oct1741243604454
9422111206630
10133321132332
11515a5337aa3
1221a08b89090
13c758c757ab
14664a5c66ba
1537046dcadc
hex1f0a8f092c

133321132332 has 48 divisors (see below), whose sum is σ = 346643579520. Its totient is φ = 44312294736.

The previous prime is 133321132237. The next prime is 133321132363. The reversal of 133321132332 is 233231123331.

133321132332 is a `hidden beast` number, since 1 + 3 + 3 + 321 + 1 + 3 + 2 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 133321132296 and 133321132305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1741278 + ... + 1816229.

It is an arithmetic number, because the mean of its divisors is an integer number (7221741240).

Almost surely, 2133321132332 is an apocalyptic number.

133321132332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133321132332 is an abundant number, since it is smaller than the sum of its proper divisors (213322447188).

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

133321132332 is a wasteful number, since it uses less digits than its factorization.

133321132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557867 (or 3557859 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 133321132332 its reverse (233231123331), we get a palindrome (366552255663).

Subtracting 133321132332 from its reverse (233231123331), we obtain a palindrome (99909990999).

The spelling of 133321132332 in words is "one hundred thirty-three billion, three hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 347 694 1041 1388 2082 3123 4164 6246 9369 12492 18738 37476 3557507 7115014 10672521 14230028 21345042 32017563 42690084 64035126 96052689 128070252 192105378 384210756 1234454929 2468909858 3703364787 4937819716 7406729574 11110094361 14813459148 22220188722 33330283083 44440377444 66660566166 133321132332