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2213135381 is a prime number
BaseRepresentation
bin1000001111101001…
…1100010000010101
312201020101221000002
42003322130100111
514013030313011
61003335101045
7105562224512
oct20372342025
95636357002
102213135381
11a36291406
12519211785
13293680382
1416dcda309
15ce463c3b
hex83e9c415

2213135381 has 2 divisors, whose sum is σ = 2213135382. Its totient is φ = 2213135380.

The previous prime is 2213135369. The next prime is 2213135383. The reversal of 2213135381 is 1835313122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2103598225 + 109537156 = 45865^2 + 10466^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2213135381 is a prime.

It is a super-2 number, since 2×22131353812 = 9795936429268030322, which contains 22 as substring.

Together with 2213135383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2213135383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1106567690 + 1106567691.

It is an arithmetic number, because the mean of its divisors is an integer number (1106567691).

Almost surely, 22213135381 is an apocalyptic number.

It is an amenable number.

2213135381 is a deficient number, since it is larger than the sum of its proper divisors (1).

2213135381 is an equidigital number, since it uses as much as digits as its factorization.

2213135381 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4320, while the sum is 29.

The square root of 2213135381 is about 47043.9728445632. The cubic root of 2213135381 is about 1303.1747614342.

The spelling of 2213135381 in words is "two billion, two hundred thirteen million, one hundred thirty-five thousand, three hundred eighty-one".