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3003122130193 is a prime number
BaseRepresentation
bin101011101100111000000…
…001110001110100010001
3101122002120202002220220201
4223230320001301310101
5343200343231131233
610215340521335201
7426653110632343
oct53547001616421
911562522086821
103003122130193
11a58687173369
12406037637501
1318a268605b13
14a54cd811293
15531b88ae77d
hex2bb38071d11

3003122130193 has 2 divisors, whose sum is σ = 3003122130194. Its totient is φ = 3003122130192.

The previous prime is 3003122130179. The next prime is 3003122130221. The reversal of 3003122130193 is 3910312213003.

It is an a-pointer prime, because the next prime (3003122130221) can be obtained adding 3003122130193 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2958083528464 + 45038601729 = 1719908^2 + 212223^2 .

It is a cyclic number.

It is not a de Polignac number, because 3003122130193 - 217 = 3003121999121 is a prime.

It is not a weakly prime, because it can be changed into another prime (3003122136193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1501561065096 + 1501561065097.

It is an arithmetic number, because the mean of its divisors is an integer number (1501561065097).

Almost surely, 23003122130193 is an apocalyptic number.

It is an amenable number.

3003122130193 is a deficient number, since it is larger than the sum of its proper divisors (1).

3003122130193 is an equidigital number, since it uses as much as digits as its factorization.

3003122130193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 3003122130193 its reverse (3910312213003), we get a palindrome (6913434343196).

The spelling of 3003122130193 in words is "three trillion, three billion, one hundred twenty-two million, one hundred thirty thousand, one hundred ninety-three".