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202221444122201 = 71311491480033697
BaseRepresentation
bin101101111110101101011001…
…010101111100011001011001
3222112000011220010122212112002
4231332231121111330121121
5203001144004143402301
61554031125434330345
760411005620643360
oct5576553125743131
9875004803585462
10202221444122201
11594856a6339779
121a81ba545899b5
1388ab52877670a
1437d17da5967d7
15185a39ce1a16b
hexb7eb5957c659

202221444122201 has 16 divisors (see below), whose sum is σ = 234437337763200. Its totient is φ = 170855089866240.

The previous prime is 202221444122183. The next prime is 202221444122279. The reversal of 202221444122201 is 102221444122202.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 202221444122201 - 214 = 202221444105817 is a prime.

It is a super-2 number, since 2×2022214441222012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202221444125201) 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 15 ways as a sum of consecutive naturals, for example, 739880216 + ... + 740153481.

It is an arithmetic number, because the mean of its divisors is an integer number (14652333610200).

Almost surely, 2202221444122201 is an apocalyptic number.

It is an amenable number.

202221444122201 is a deficient number, since it is larger than the sum of its proper divisors (32215893640999).

202221444122201 is a wasteful number, since it uses less digits than its factorization.

202221444122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480033984.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 202221444122201 its reverse (102221444122202), we get a palindrome (304442888244403).

Subtracting from 202221444122201 its reverse (102221444122202), we obtain a palindrome (99999999999999).

The spelling of 202221444122201 in words is "two hundred two trillion, two hundred twenty-one billion, four hundred forty-four million, one hundred twenty-two thousand, two hundred one".

Divisors: 1 7 131 149 917 1043 19519 136633 1480033697 10360235879 193884414307 220525020853 1357190900149 1543675145971 28888777731743 202221444122201