Search a number
-
+
133334120010 = 2357213217131241
BaseRepresentation
bin111110000101101010…
…1010011011001001010
3110202011021200002110010
41330023111103121022
54141032013320020
6141130340532350
712430100214600
oct1741325233112
9422137602403
10133334120010
11516016a8913
1221a113b10b6
13c75b872200
14664c207870
153705905de0
hex1f0b55364a

133334120010 has 576 divisors, whose sum is σ = 431837391744. Its totient is φ = 26166067200.

The previous prime is 133334119981. The next prime is 133334120011. The reversal of 133334120010 is 10021433331.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (133334120011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 553253490 + ... + 553253730.

It is an arithmetic number, because the mean of its divisors is an integer number (749717694).

Almost surely, 2133334120010 is an apocalyptic number.

133334120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133334120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215918695872).

133334120010 is an abundant number, since it is smaller than the sum of its proper divisors (298503271734).

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

133334120010 is a wasteful number, since it uses less digits than its factorization.

133334120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 133334120010 its reverse (10021433331), we get a palindrome (143355553341).

The spelling of 133334120010 in words is "one hundred thirty-three billion, three hundred thirty-four million, one hundred twenty thousand, ten".