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20221021212210 = 23257213287730937
BaseRepresentation
bin1001001100100000100101…
…10010010100111000110010
32122121002222201212102012100
410212100102302110320302
510122300122412242320
6111001224153441230
74154630520231600
oct446202262247062
978532881772170
1020221021212210
11649676134a095
122326b77110216
13b38aac733b00
144dc9ba0d4870
15250edda47790
hex126412c94e32

20221021212210 has 432 divisors, whose sum is σ = 66302293843656. Its totient is φ = 4261410736128.

The previous prime is 20221021212209. The next prime is 20221021212367. The reversal of 20221021212210 is 1221212012202.

It is a happy number.

20221021212210 is a `hidden beast` number, since 2 + 0 + 221 + 0 + 21 + 212 + 210 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 198072172809 + 20022949039401 = 445053^2 + 4474701^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 653603862 + ... + 653634798.

Almost surely, 220221021212210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20221021212210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33151146921828).

20221021212210 is an abundant number, since it is smaller than the sum of its proper divisors (46081272631446).

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

20221021212210 is a wasteful number, since it uses less digits than its factorization.

20221021212210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31867 (or 31844 counting only the distinct ones).

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

Adding to 20221021212210 its reverse (1221212012202), we get a palindrome (21442233224412).

The spelling of 20221021212210 in words is "twenty trillion, two hundred twenty-one billion, twenty-one million, two hundred twelve thousand, two hundred ten".