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2123113301 is a prime number
BaseRepresentation
bin111111010001100…
…0010001101010101
312110222000022220222
41332203002031111
513322004111201
6550401404125
7103420110461
oct17643021525
95428008828
102123113301
1199a4954a1
124b3039645
1327ab2137a
14161d854a1
15c65d091b
hex7e8c2355

2123113301 has 2 divisors, whose sum is σ = 2123113302. Its totient is φ = 2123113300.

The previous prime is 2123113283. The next prime is 2123113319. The reversal of 2123113301 is 1033113212.

It is a balanced prime because it is at equal distance from previous prime (2123113283) and next prime (2123113319).

It can be written as a sum of positive squares in only one way, i.e., 1344982276 + 778131025 = 36674^2 + 27895^2 .

It is a cyclic number.

It is not a de Polignac number, because 2123113301 - 226 = 2056004437 is a prime.

It is a super-2 number, since 2×21231133012 = 9015220177766233202, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2123113301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2123113351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1061556650 + 1061556651.

It is an arithmetic number, because the mean of its divisors is an integer number (1061556651).

Almost surely, 22123113301 is an apocalyptic number.

It is an amenable number.

2123113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2123113301 is an equidigital number, since it uses as much as digits as its factorization.

2123113301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2123113301 is about 46077.2536182442. The cubic root of 2123113301 is about 1285.2601936938.

Adding to 2123113301 its reverse (1033113212), we get a palindrome (3156226513).

The spelling of 2123113301 in words is "two billion, one hundred twenty-three million, one hundred thirteen thousand, three hundred one".