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221001221021022 = 23513172406185517
BaseRepresentation
bin110010001111111111011011…
…010001100001110101011110
31001222111111210002002021200000
4302033333123101201311132
5212431341000040133042
62102010320452515130
764356545164524501
oct6217773321416536
91058444702067600
10221001221021022
116446610085a462
122095362591baa6
1396414307b29a0
143c8073252b138
151a83b3797a74c
hexc8ffdb461d5e

221001221021022 has 192 divisors, whose sum is σ = 566255504977344. Its totient is φ = 63996945315840.

The previous prime is 221001221020969. The next prime is 221001221021029. The reversal of 221001221021022 is 220120122100122.

It is a happy number.

221001221021022 is a `hidden beast` number, since 2 + 210 + 0 + 1 + 221 + 0 + 210 + 22 = 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 = 221001221020986 and 221001221021004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221001221021029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2584253008 + ... + 2584338524.

It is an arithmetic number, because the mean of its divisors is an integer number (2949247421757).

Almost surely, 2221001221021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221001221021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283127752488672).

221001221021022 is an abundant number, since it is smaller than the sum of its proper divisors (345254283956322).

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

221001221021022 is a wasteful number, since it uses less digits than its factorization.

221001221021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109625 (or 109613 counting only the distinct ones).

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

Adding to 221001221021022 its reverse (220120122100122), we get a palindrome (441121343121144).

The spelling of 221001221021022 in words is "two hundred twenty-one trillion, one billion, two hundred twenty-one million, twenty-one thousand, twenty-two".