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2201313133 is a prime number
BaseRepresentation
bin1000001100110101…
…0101111101101101
312200102011021221001
42003031111331231
514002014010013
61002233440301
7105356565355
oct20315257555
95612137831
102201313133
11a2a647158
12515270091
132910a1266
1416c4ddb65
15cd3caddd
hex83355f6d

2201313133 has 2 divisors, whose sum is σ = 2201313134. Its totient is φ = 2201313132.

The previous prime is 2201313091. The next prime is 2201313143. The reversal of 2201313133 is 3313131022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2097823204 + 103489929 = 45802^2 + 10173^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2201313133 is a prime.

It is a super-3 number, since 3×22013131333 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2201313133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2201313143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100656566 + 1100656567.

It is an arithmetic number, because the mean of its divisors is an integer number (1100656567).

Almost surely, 22201313133 is an apocalyptic number.

It is an amenable number.

2201313133 is a deficient number, since it is larger than the sum of its proper divisors (1).

2201313133 is an equidigital number, since it uses as much as digits as its factorization.

2201313133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 2201313133 is about 46918.1535548875. The cubic root of 2201313133 is about 1300.8501604678.

Adding to 2201313133 its reverse (3313131022), we get a palindrome (5514444155).

The spelling of 2201313133 in words is "two billion, two hundred one million, three hundred thirteen thousand, one hundred thirty-three".