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2221131001 is a prime number
BaseRepresentation
bin1000010001100011…
…1100010011111001
312201210110010221011
42010120330103321
514022102143001
61004222313521
7106020205405
oct20430742371
95653403834
102221131001
11a3a852661
1251ba288a1
1329521c7cb
14170dbc105
15ceee2d51
hex8463c4f9

2221131001 has 2 divisors, whose sum is σ = 2221131002. Its totient is φ = 2221131000.

The previous prime is 2221130969. The next prime is 2221131079. The reversal of 2221131001 is 1001311222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1955408400 + 265722601 = 44220^2 + 16301^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221131001 - 25 = 2221130969 is a prime.

It is a super-3 number, since 3×22211310013 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2221131701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110565500 + 1110565501.

It is an arithmetic number, because the mean of its divisors is an integer number (1110565501).

Almost surely, 22221131001 is an apocalyptic number.

It is an amenable number.

2221131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221131001 is an equidigital number, since it uses as much as digits as its factorization.

2221131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2221131001 is about 47128.8765089939. The cubic root of 2221131001 is about 1304.7422460848.

Adding to 2221131001 its reverse (1001311222), we get a palindrome (3222442223).

The spelling of 2221131001 in words is "two billion, two hundred twenty-one million, one hundred thirty-one thousand, one".