Search a number
-
+
133330200003000 = 2332537111337537547
BaseRepresentation
bin11110010100001101011011…
…001101011000000110111000
3122111002020112212211200212200
4132110031123031120012320
5114433440222200044000
61151323014233310200
740040534435526210
oct3624153315300670
9574066485750780
10133330200003000
1139535024a99470
1212b54352265360
135951ca3864540
1424cd305025240
151063357930500
hex79435b3581b8

133330200003000 has 3072 divisors, whose sum is σ = 633239104942080. Its totient is φ = 24409921536000.

The previous prime is 133330200002981. The next prime is 133330200003043. The reversal of 133330200003000 is 300002033331.

133330200003000 is a `hidden beast` number, since 1 + 33 + 330 + 2 + 0 + 0 + 0 + 0 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 767 ways as a sum of consecutive naturals, for example, 17666645227 + ... + 17666652773.

It is an arithmetic number, because the mean of its divisors is an integer number (206132521140).

Almost surely, 2133330200003000 is an apocalyptic number.

133330200003000 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 133330200003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316619552471040).

133330200003000 is an abundant number, since it is smaller than the sum of its proper divisors (499908904939080).

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

133330200003000 is a wasteful number, since it uses less digits than its factorization.

133330200003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 133330200003000 its reverse (300002033331), we get a palindrome (133630202036331).

The spelling of 133330200003000 in words is "one hundred thirty-three trillion, three hundred thirty billion, two hundred million, three thousand".