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133123321332 = 223226501139537
BaseRepresentation
bin111101111111011000…
…1001010110111110100
3110201121121000102000200
41323332301022313310
54140114032240312
6141053410440500
712421630363311
oct1737661126764
9421547012020
10133123321332
115150370a731
1221972893130
13c726ca6971
14662c213d08
1536e21670dc
hex1efec4adf4

133123321332 has 36 divisors (see below), whose sum is σ = 336521282916. Its totient is φ = 44372448000.

The previous prime is 133123321327. The next prime is 133123321349. The reversal of 133123321332 is 233123321331.

133123321332 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 2 + 3 + 321 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73682930916 + 59440390416 = 271446^2 + 243804^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 133123321296 and 133123321305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 884268 + ... + 1023804.

Almost surely, 2133123321332 is an apocalyptic number.

133123321332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133123321332 is an abundant number, since it is smaller than the sum of its proper divisors (203397961584).

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

133123321332 is a wasteful number, since it uses less digits than its factorization.

133123321332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166048 (or 166043 counting only the distinct ones).

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

Adding to 133123321332 its reverse (233123321331), we get a palindrome (366246642663).

Subtracting 133123321332 from its reverse (233123321331), we obtain a palindrome (99999999999).

The spelling of 133123321332 in words is "one hundred thirty-three billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 26501 53002 79503 106004 139537 159006 238509 279074 318012 418611 477018 558148 837222 954036 1255833 1674444 2511666 5023332 3697870037 7395740074 11093610111 14791480148 22187220222 33280830333 44374440444 66561660666 133123321332