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1220222220221 = 10123352379901
BaseRepresentation
bin10001110000011010111…
…010010111011110111101
311022122121101101100001202
4101300122322113132331
5124443003342021341
62332321244545245
7154105146511214
oct21603272273675
94278541340052
101220222220221
114305476a5494
121785a1b52225
138b0b30297a4
14430b813807b
1521b1a1ee79b
hex11c1ae977bd

1220222220221 has 16 divisors (see below), whose sum is σ = 1237953822768. Its totient is φ = 1202604480000.

The previous prime is 1220222220209. The next prime is 1220222220263.

1220222220221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 416708980900 + 803513239321 = 645530^2 + 896389^2 .

It is a cyclic number.

It is not a de Polignac number, because 1220222220221 - 26 = 1220222220157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1220222220193 and 1220222220202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220222220281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123237371 + ... + 123247271.

It is an arithmetic number, because the mean of its divisors is an integer number (77372113923).

Almost surely, 21220222220221 is an apocalyptic number.

It is an amenable number.

1220222220221 is a deficient number, since it is larger than the sum of its proper divisors (17731602547).

1220222220221 is a wasteful number, since it uses less digits than its factorization.

1220222220221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15472.

The product of its (nonzero) digits is 512, while the sum is 20.

The spelling of 1220222220221 in words is "one trillion, two hundred twenty billion, two hundred twenty-two million, two hundred twenty thousand, two hundred twenty-one".

Divisors: 1 101 233 5237 9901 23533 528937 1000001 1220221 2306933 51851537 123242321 233000233 5237005237 12081408121 1220222220221