Search a number
-
+
203332303113000 = 233531061170937379
BaseRepresentation
bin101110001110110111111101…
…101100101100101100101000
3222122221101012210211112020020
4232032313331230230230220
5203122344024044104000
62000241323122000440
760554163010401255
oct5616677554545450
9878841183745206
10203332303113000
1159873822277226
121a97b1b4aa6120
13895c2001a7819
14382d49bd0642c
151879216da4ba0
hexb8edfdb2cb28

203332303113000 has 256 divisors, whose sum is σ = 635383266336000. Its totient is φ = 54137697152000.

The previous prime is 203332303112977. The next prime is 203332303113019. The reversal of 203332303113000 is 311303233302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5439728311 + ... + 5439765689.

It is an arithmetic number, because the mean of its divisors is an integer number (2481965884125).

Almost surely, 2203332303113000 is an apocalyptic number.

203332303113000 is a gapful number since it is divisible by the number (20) 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 203332303113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317691633168000).

203332303113000 is an abundant number, since it is smaller than the sum of its proper divisors (432050963223000).

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

203332303113000 is a wasteful number, since it uses less digits than its factorization.

203332303113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40173 (or 40159 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 203332303113000 its reverse (311303233302), we get a palindrome (203643606346302).

The spelling of 203332303113000 in words is "two hundred three trillion, three hundred thirty-two billion, three hundred three million, one hundred thirteen thousand".