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133432330320 = 2435531221413
BaseRepresentation
bin111110001000100101…
…1111100100001010000
3110202102010110200200000
41330101023330201100
54141232134032240
6141144205530000
712432402044202
oct1742113744120
9422363420600
10133432330320
1151652087763
1221a3a273900
13c77600a213
14665b290772
15370e355430
hex1f112fc850

133432330320 has 240 divisors, whose sum is σ = 479699630592. Its totient is φ = 34433994240.

The previous prime is 133432330309. The next prime is 133432330333. The reversal of 133432330320 is 23033234331.

It is a happy number.

133432330320 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 3 + 2 + 330 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 491934 + ... + 713346.

Almost surely, 2133432330320 is an apocalyptic number.

133432330320 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 133432330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239849815296).

133432330320 is an abundant number, since it is smaller than the sum of its proper divisors (346267300272).

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

133432330320 is a wasteful number, since it uses less digits than its factorization.

133432330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221472 (or 221454 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 133432330320 its reverse (23033234331), we get a palindrome (156465564651).

The spelling of 133432330320 in words is "one hundred thirty-three billion, four hundred thirty-two million, three hundred thirty thousand, three hundred twenty".