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202221222211021 = 131710179711367233
BaseRepresentation
bin101101111110101101001100…
…000111011010110111001101
3222112000011022200002121121111
4231332231030013122313031
5203001143030341223041
61554031051430132021
760411000254510116
oct5576551407326715
9875004280077544
10202221222211021
11594855a2050602
121a81b9b21b1011
1388ab4c17ba120
1437d17b8d0d20d
15185a3886d3981
hexb7eb4c1dadcd

202221222211021 has 32 divisors (see below), whose sum is σ = 233162339423328. Its totient is φ = 173727680102400.

The previous prime is 202221222211009. The next prime is 202221222211031. The reversal of 202221222211021 is 120112222122202.

It can be written as a sum of positive squares in 16 ways, for example, as 48472382008521 + 153748840202500 = 6962211^2 + 12399550^2 .

It is a cyclic number.

It is not a de Polignac number, because 202221222211021 - 229 = 202220685340109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 202221222210983 and 202221222211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221222211031) 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 31 ways as a sum of consecutive naturals, for example, 12106221 + ... + 23473453.

It is an arithmetic number, because the mean of its divisors is an integer number (7286323106979).

Almost surely, 2202221222211021 is an apocalyptic number.

It is an amenable number.

202221222211021 is a deficient number, since it is larger than the sum of its proper divisors (30941117212307).

202221222211021 is a wasteful number, since it uses less digits than its factorization.

202221222211021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368161.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 202221222211021 its reverse (120112222122202), we get a palindrome (322333444333223).

The spelling of 202221222211021 in words is "two hundred two trillion, two hundred twenty-one billion, two hundred twenty-two million, two hundred eleven thousand, twenty-one".

Divisors: 1 13 17 101 221 797 1313 1717 10361 13549 22321 80497 176137 1046461 1368449 11367233 17789837 147774029 193242961 1148090533 2512158493 9059684701 14925176929 19517539061 117775901113 154014639917 253728007793 915028154801 2002190318921 11895366012413 15555478631617 202221222211021