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2210320221120 = 2632511437122853
BaseRepresentation
bin100000001010100001010…
…110100000001111000000
321211022020000110002101100
4200022201112200033000
5242203213434033440
64411223533134400
7315455536613214
oct40124126401700
97738200402340
102210320221120
11782434161950
122b845b92a400
131305809cb75b
1478da144c944
153c7674b5230
hex202a15a03c0

2210320221120 has 672 divisors, whose sum is σ = 8606507779584. Its totient is φ = 515979878400.

The previous prime is 2210320221041. The next prime is 2210320221121. The reversal of 2210320221120 is 211220230122.

2210320221120 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 320 + 221 + 120 = 666.

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 = 2210320221093 and 2210320221102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210320221121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96707614 + ... + 96730466.

Almost surely, 22210320221120 is an apocalyptic number.

2210320221120 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 2210320221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303253889792).

2210320221120 is an abundant number, since it is smaller than the sum of its proper divisors (6396187558464).

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

2210320221120 is a wasteful number, since it uses less digits than its factorization.

2210320221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23001 (or 22988 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2210320221120 its reverse (211220230122), we get a palindrome (2421540451242).

The spelling of 2210320221120 in words is "two trillion, two hundred ten billion, three hundred twenty million, two hundred twenty-one thousand, one hundred twenty".