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132333113300 = 225219617997149
BaseRepresentation
bin111101100111110101…
…0110000111111010100
3110122120112002200101112
41323033222300333110
54132004234111200
6140443141514152
712363223621643
oct1731752607724
9418515080345
10132333113300
1151138657743
1221792112958
13c62c371a4b
1465952b735a
153697ac6535
hex1ecfab0fd4

132333113300 has 288 divisors, whose sum is σ = 316438080000. Its totient is φ = 47875276800.

The previous prime is 132333113299. The next prime is 132333113303. The reversal of 132333113300 is 3311333231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132333113303) 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 95 ways as a sum of consecutive naturals, for example, 888141626 + ... + 888141774.

Almost surely, 2132333113300 is an apocalyptic number.

132333113300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132333113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158219040000).

132333113300 is an abundant number, since it is smaller than the sum of its proper divisors (184104966700).

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

132333113300 is a wasteful number, since it uses less digits than its factorization.

132333113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 132333113300 its reverse (3311333231), we get a palindrome (135644446531).

The spelling of 132333113300 in words is "one hundred thirty-two billion, three hundred thirty-three million, one hundred thirteen thousand, three hundred".