Search a number
-
+
133042323000 = 23353177433511
BaseRepresentation
bin111101111100111110…
…0001011111000111000
3110201101221121021012110
41323321330023320320
54134432313314000
6141041354412320
712416625041466
oct1737174137070
9421357537173
10133042323000
1151471a17464
122194b7310a0
13c713287062
14662156b836
1536d9eb7850
hex1ef9f0be38

133042323000 has 256 divisors, whose sum is σ = 440226109440. Its totient is φ = 33336576000.

The previous prime is 133042322989. The next prime is 133042323031. The reversal of 133042323000 is 323240331.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 37891245 + ... + 37894755.

It is an arithmetic number, because the mean of its divisors is an integer number (1719633240).

Almost surely, 2133042323000 is an apocalyptic number.

133042323000 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 133042323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220113054720).

133042323000 is an abundant number, since it is smaller than the sum of its proper divisors (307183786440).

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

133042323000 is a wasteful number, since it uses less digits than its factorization.

133042323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4281 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 133042323000 its reverse (323240331), we get a palindrome (133365563331).

The spelling of 133042323000 in words is "one hundred thirty-three billion, forty-two million, three hundred twenty-three thousand".