Search a number
-
+
202231031310 = 2325711192416373
BaseRepresentation
bin1011110001010111101…
…0001010011000001110
3201022222211100211002200
42330111322022120032
511303132121000220
6232523104502330
720416321255320
oct2742572123016
9638884324080
10202231031310
1178847166030
123323a91a9a6
13160bb5c7049
149b06519610
1553d9270890
hex2f15e8a60e

202231031310 has 384 divisors, whose sum is σ = 693017994240. Its totient is φ = 39638937600.

The previous prime is 202231031293. The next prime is 202231031311. The reversal of 202231031310 is 13130132202.

202231031310 is a `hidden beast` number, since 20 + 22 + 310 + 3 + 1 + 310 = 666.

202231031310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2022310313102 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202231031311) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 31729284 + ... + 31735656.

It is an arithmetic number, because the mean of its divisors is an integer number (1804734360).

Almost surely, 2202231031310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202231031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346508997120).

202231031310 is an abundant number, since it is smaller than the sum of its proper divisors (490786962930).

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

202231031310 is a wasteful number, since it uses less digits than its factorization.

202231031310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 202231031310 its reverse (13130132202), we get a palindrome (215361163512).

The spelling of 202231031310 in words is "two hundred two billion, two hundred thirty-one million, thirty-one thousand, three hundred ten".