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2220321131100 = 22325219269482689
BaseRepresentation
bin100000010011110101011…
…100111100101001011100
321212021000222220221202200
4200103311130330221130
5242334204202143400
64420000151251500
7316261425135162
oct40236534745134
97767028827680
102220321131100
117866a6438606
122ba391079b90
131314b5947177
147966d76b232
153cb504a2b00
hex204f573ca5c

2220321131100 has 216 divisors, whose sum is σ = 7353009846000. Its totient is φ = 558836858880.

The previous prime is 2220321131059. The next prime is 2220321131107. The reversal of 2220321131100 is 11311230222.

2220321131100 is a `hidden beast` number, since 2 + 220 + 321 + 13 + 110 + 0 = 666.

2220321131100 is digitally balanced in base 2, 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2220321131107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4358556 + ... + 4841244.

It is an arithmetic number, because the mean of its divisors is an integer number (34041712250).

Almost surely, 22220321131100 is an apocalyptic number.

2220321131100 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 2220321131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3676504923000).

2220321131100 is an abundant number, since it is smaller than the sum of its proper divisors (5132688714900).

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

2220321131100 is a wasteful number, since it uses less digits than its factorization.

2220321131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482997 (or 482987 counting only the distinct ones).

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

Adding to 2220321131100 its reverse (11311230222), we get a palindrome (2231632361322).

The spelling of 2220321131100 in words is "two trillion, two hundred twenty billion, three hundred twenty-one million, one hundred thirty-one thousand, one hundred".