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221201021010222 = 2331119577211116091
BaseRepresentation
bin110010010010111001100000…
…010010000000000100101110
31002000012121111111000100221000
4302102321200102000010232
5212443124142334311342
62102242202440021130
764410150336440601
oct6222714022000456
91060177444010830
10221201021010222
116453290a730580
12209862a64617a6
139657222542976
143c8a287c26338
151a88e2d59244c
hexc92e6048012e

221201021010222 has 256 divisors, whose sum is σ = 565749610905600. Its totient is φ = 63358661376000.

The previous prime is 221201021010163. The next prime is 221201021010247. The reversal of 221201021010222 is 222010120102122.

It is a happy number.

221201021010222 is a `hidden beast` number, since 2 + 21 + 201 + 0 + 210 + 10 + 222 = 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 = 221201021010195 and 221201021010204.

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 127 ways as a sum of consecutive naturals, for example, 13746870397 + ... + 13746886487.

It is an arithmetic number, because the mean of its divisors is an integer number (2209959417600).

Almost surely, 2221201021010222 is an apocalyptic number.

221201021010222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221201021010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282874805452800).

221201021010222 is an abundant number, since it is smaller than the sum of its proper divisors (344548589895378).

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

221201021010222 is a wasteful number, since it uses less digits than its factorization.

221201021010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18820 (or 18814 counting only the distinct ones).

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

Adding to 221201021010222 its reverse (222010120102122), we get a palindrome (443211141112344).

It can be divided in two parts, 2212010 and 21010222, that added together give a palindrome (23222232).

The spelling of 221201021010222 in words is "two hundred twenty-one trillion, two hundred one billion, twenty-one million, ten thousand, two hundred twenty-two".