Search a number
-
+
133022144520 = 233253183143609
BaseRepresentation
bin111101111100010111…
…1001101100000001000
3110201100112122002112100
41323320233031200020
54134412132111040
6141035354113400
712416261400216
oct1737057154010
9421315562470
10133022144520
1151461595031
1221944a1b860
13c70c040625
14661c9d7cb6
1536d832db30
hex1ef8bcd808

133022144520 has 192 divisors, whose sum is σ = 451647705600. Its totient is φ = 33914465280.

The previous prime is 133022144513. The next prime is 133022144531. The reversal of 133022144520 is 25441220331.

133022144520 is a `hidden beast` number, since 133 + 0 + 2 + 2 + 1 + 4 + 4 + 520 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 854476 + ... + 998084.

It is an arithmetic number, because the mean of its divisors is an integer number (2352331800).

Almost surely, 2133022144520 is an apocalyptic number.

133022144520 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 133022144520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225823852800).

133022144520 is an abundant number, since it is smaller than the sum of its proper divisors (318625561080).

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

133022144520 is a wasteful number, since it uses less digits than its factorization.

133022144520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143740 (or 143733 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 133022144520 its reverse (25441220331), we get a palindrome (158463364851).

The spelling of 133022144520 in words is "one hundred thirty-three billion, twenty-two million, one hundred forty-four thousand, five hundred twenty".