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2300132993 is a prime number
BaseRepresentation
bin1000100100011001…
…0011111010000001
312221022002212021212
42021012103322001
514202313223433
61020123455505
7110666544044
oct21106237201
95838085255
102300132993
11a80401a64
12542387595
132a86c0852
1417b6a4c5b
15d6dead48
hex89193e81

2300132993 has 2 divisors, whose sum is σ = 2300132994. Its totient is φ = 2300132992.

The previous prime is 2300132911. The next prime is 2300133001. The reversal of 2300132993 is 3992310032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1380345409 + 919787584 = 37153^2 + 30328^2 .

It is a cyclic number.

It is not a de Polignac number, because 2300132993 - 216 = 2300067457 is a prime.

It is a super-2 number, since 2×23001329932 = 10581223570974276098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2300132903) 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, 1150066496 + 1150066497.

It is an arithmetic number, because the mean of its divisors is an integer number (1150066497).

Almost surely, 22300132993 is an apocalyptic number.

It is an amenable number.

2300132993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2300132993 is an equidigital number, since it uses as much as digits as its factorization.

2300132993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The square root of 2300132993 is about 47959.7017609576. The cubic root of 2300132993 is about 1320.0315635627.

The spelling of 2300132993 in words is "two billion, three hundred million, one hundred thirty-two thousand, nine hundred ninety-three".