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112211020220220 = 223351571296344641
BaseRepresentation
bin11001100000111000101010…
…000000000000011100111100
3112201022021020221011111202000
4121200320222000000130330
5104201431132134021340
61034353010412302300
732430656454351555
oct3140705200003474
9481267227144660
10112211020220220
1132832476640799
12107032b7771990
134a7c5b900ba5c
141d9d08432732c
15ce8ced399d30
hex660e2a00073c

112211020220220 has 192 divisors, whose sum is σ = 349448890452480. Its totient is φ = 29893129574400.

The previous prime is 112211020220209. The next prime is 112211020220231. The reversal of 112211020220220 is 22022020112211.

It is a happy number.

112211020220220 is a `hidden beast` number, since 1 + 1 + 221 + 1 + 0 + 2 + 0 + 220 + 220 = 666.

112211020220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (112211020220209) and next prime (112211020220231).

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 = 112211020220193 and 112211020220202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2513609100 + ... + 2513653740.

It is an arithmetic number, because the mean of its divisors is an integer number (1820046304440).

Almost surely, 2112211020220220 is an apocalyptic number.

112211020220220 is a gapful number since it is divisible by the number (10) 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 112211020220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174724445226240).

112211020220220 is an abundant number, since it is smaller than the sum of its proper divisors (237237870232260).

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

112211020220220 is a wasteful number, since it uses less digits than its factorization.

112211020220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49193 (or 49185 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112211020220220 its reverse (22022020112211), we get a palindrome (134233040332431).

The spelling of 112211020220220 in words is "one hundred twelve trillion, two hundred eleven billion, twenty million, two hundred twenty thousand, two hundred twenty".