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2202121381 is a prime number
BaseRepresentation
bin1000001101000001…
…1011010010100101
312200110200100122011
42003100123102211
514002220341011
61002303034221
7105366502645
oct20320332245
95613610564
102202121381
11a30049429
1251559b971
132912c5105
1416c670525
15cd4da621
hex8341b4a5

2202121381 has 2 divisors, whose sum is σ = 2202121382. Its totient is φ = 2202121380.

The previous prime is 2202121349. The next prime is 2202121391. The reversal of 2202121381 is 1831212022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1811268481 + 390852900 = 42559^2 + 19770^2 .

It is a cyclic number.

It is not a de Polignac number, because 2202121381 - 25 = 2202121349 is a prime.

It is a super-2 number, since 2×22021213812 = 9698677153314694322, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2202121391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101060690 + 1101060691.

It is an arithmetic number, because the mean of its divisors is an integer number (1101060691).

Almost surely, 22202121381 is an apocalyptic number.

It is an amenable number.

2202121381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202121381 is an equidigital number, since it uses as much as digits as its factorization.

2202121381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 2202121381 is about 46926.7661468378. The cubic root of 2202121381 is about 1301.0093504334.

The spelling of 2202121381 in words is "two billion, two hundred two million, one hundred twenty-one thousand, three hundred eighty-one".