Search a number
-
+
2211231210320 = 24511294710118253
BaseRepresentation
bin100000001011010111101…
…001101001101101010000
321211101120111122010122002
4200023113221221231100
5242212100142212240
64411454154533132
7315520241111336
oct40132751515520
97741514563562
102211231210320
1178286140a590
122b8674a371a8
13130697672012
147904a429b56
153c7bc462d15
hex202d7a69b50

2211231210320 has 320 divisors, whose sum is σ = 5984321264640. Its totient is φ = 752274432000.

The previous prime is 2211231210319. The next prime is 2211231210343. The reversal of 2211231210320 is 230121321122.

It is a super-3 number, since 3×22112312103203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2211231210292 and 2211231210301.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 121134314 + ... + 121152566.

It is an arithmetic number, because the mean of its divisors is an integer number (18701003952).

Almost surely, 22211231210320 is an apocalyptic number.

2211231210320 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 2211231210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992160632320).

2211231210320 is an abundant number, since it is smaller than the sum of its proper divisors (3773090054320).

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

2211231210320 is a wasteful number, since it uses less digits than its factorization.

2211231210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18454 (or 18448 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2211231210320 its reverse (230121321122), we get a palindrome (2441352531442).

The spelling of 2211231210320 in words is "two trillion, two hundred eleven billion, two hundred thirty-one million, two hundred ten thousand, three hundred twenty".