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21201102022212 = 223272379131353453
BaseRepresentation
bin1001101001000010001000…
…01001111010011001000100
32210001210202020211010220200
410310201010021322121010
510234324324104202322
6113031352442530500
74315505033532450
oct464410411723104
983053666733820
1021201102022212
11683437841a792
122464aba206a30
13baa341ca9998
145341d2c8d660
1526b7516a68ac
hex13484427a644

21201102022212 has 288 divisors, whose sum is σ = 65213789921280. Its totient is φ = 5677061195520.

The previous prime is 21201102022211. The next prime is 21201102022223. The reversal of 21201102022212 is 21222020110212.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21201102022211) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 59806078 + ... + 60159530.

It is an arithmetic number, because the mean of its divisors is an integer number (226436770560).

Almost surely, 221201102022212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201102022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32606894960640).

21201102022212 is an abundant number, since it is smaller than the sum of its proper divisors (44012687899068).

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

21201102022212 is a wasteful number, since it uses less digits than its factorization.

21201102022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353703 (or 353698 counting only the distinct ones).

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

Adding to 21201102022212 its reverse (21222020110212), we get a palindrome (42423122132424).

The spelling of 21201102022212 in words is "twenty-one trillion, two hundred one billion, one hundred two million, twenty-two thousand, two hundred twelve".