Search a number
-
+
231302211000 = 23353717363667
BaseRepresentation
bin1101011101101010101…
…1111010010110111000
3211010000211220202112120
43113122223322112320
512242201331223000
6254131521041240
722465612232250
oct3273253722670
9733024822476
10231302211000
118a105082673
12389b2786220
1318a72414713
14b2a3464960
15603b5786a0
hex35daafa5b8

231302211000 has 256 divisors, whose sum is σ = 829538012160. Its totient is φ = 52562649600.

The previous prime is 231302210999. The next prime is 231302211029. The reversal of 231302211000 is 112203132.

231302211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 3601167 + ... + 3664833.

It is an arithmetic number, because the mean of its divisors is an integer number (3240382860).

Almost surely, 2231302211000 is an apocalyptic number.

231302211000 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 231302211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414769006080).

231302211000 is an abundant number, since it is smaller than the sum of its proper divisors (598235801160).

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

231302211000 is a wasteful number, since it uses less digits than its factorization.

231302211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63871 (or 63857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 231302211000 its reverse (112203132), we get a palindrome (231414414132).

The spelling of 231302211000 in words is "two hundred thirty-one billion, three hundred two million, two hundred eleven thousand".