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2231221110030 = 2345111725316349
BaseRepresentation
bin100000011101111111001…
…001000100010100001110
321220022011122011020220000
4200131333021010110032
5243024020101010110
64425001523505130
7320125511340333
oct40357711042416
97808148136800
102231221110030
1179028a170060
123005135281a6
13132531c21543
1479dc524298a
153d08c3861c0
hex2077f24450e

2231221110030 has 480 divisors, whose sum is σ = 7084170640800. Its totient is φ = 499448401920.

The previous prime is 2231221110007. The next prime is 2231221110031. The reversal of 2231221110030 is 300111221322.

It is a super-3 number, since 3×22312211100303 (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2231221109985 and 2231221110012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231221110031) 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 239 ways as a sum of consecutive naturals, for example, 136466296 + ... + 136482644.

It is an arithmetic number, because the mean of its divisors is an integer number (14758688835).

Almost surely, 22231221110030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231221110030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542085320400).

2231221110030 is an abundant number, since it is smaller than the sum of its proper divisors (4852949530770).

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

2231221110030 is a wasteful number, since it uses less digits than its factorization.

2231221110030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16466 (or 16440 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2231221110030 its reverse (300111221322), we get a palindrome (2531332331352).

The spelling of 2231221110030 in words is "two trillion, two hundred thirty-one billion, two hundred twenty-one million, one hundred ten thousand, thirty".