Search a number
-
+
150133244100 = 2235271710194127
BaseRepresentation
bin1000101111010010100…
…0111000000011000100
3112100112001012000102020
42023310220320003010
54424433102302400
6152545324243140
713563304343010
oct2136450700304
9470461160366
10150133244100
1158742336444
122511b3a04b0
1311208062718
1473a3357540
153d8a64e2a0
hex22f4a380c4

150133244100 has 288 divisors, whose sum is σ = 526286315520. Its totient is φ = 32258058240.

The previous prime is 150133244089. The next prime is 150133244101. The reversal of 150133244100 is 1442331051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150133244101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36376237 + ... + 36380363.

It is an arithmetic number, because the mean of its divisors is an integer number (1827383040).

Almost surely, 2150133244100 is an apocalyptic number.

150133244100 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 150133244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263143157760).

150133244100 is an abundant number, since it is smaller than the sum of its proper divisors (376153071420).

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

150133244100 is a wasteful number, since it uses less digits than its factorization.

150133244100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5187 (or 5180 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 150133244100 its reverse (1442331051), we get a palindrome (151575575151).

The spelling of 150133244100 in words is "one hundred fifty billion, one hundred thirty-three million, two hundred forty-four thousand, one hundred".