Search a number
-
+
133110030000 = 243545383717
BaseRepresentation
bin111101111110111111…
…0011101111010110000
3110201120200000010202010
41323331332131322300
54140102131430000
6141052213522520
712421406405133
oct1737576357260
9421520003663
10133110030000
11514a7161762
122196a343440
13c724301c7c
14662a55421a
1536e0dddd50
hex1efdf9deb0

133110030000 has 200 divisors, whose sum is σ = 437809643568. Its totient is φ = 34825856000.

The previous prime is 133110029953. The next prime is 133110030041. The reversal of 133110030000 is 30011331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1548142 + ... + 1631858.

Almost surely, 2133110030000 is an apocalyptic number.

133110030000 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 133110030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218904821784).

133110030000 is an abundant number, since it is smaller than the sum of its proper divisors (304699613568).

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

133110030000 is an equidigital number, since it uses as much as digits as its factorization.

133110030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83801 (or 83780 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 133110030000 its reverse (30011331), we get a palindrome (133140041331).

The spelling of 133110030000 in words is "one hundred thirty-three billion, one hundred ten million, thirty thousand".