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12100202302313 is a prime number
BaseRepresentation
bin1011000000010100110001…
…0000101000101101101001
31120211202201220101110122102
42300011030100220231221
53041222203242133223
641422431201103145
72356132202354456
oct260051420505551
946752656343572
1012100202302313
1139457378256a4
121435125327ab5
1369a0760b1528
142db91d86082d
1515eb49cbb928
hexb014c428b69

12100202302313 has 2 divisors, whose sum is σ = 12100202302314. Its totient is φ = 12100202302312.

The previous prime is 12100202302303. The next prime is 12100202302333. The reversal of 12100202302313 is 31320320200121.

It is an a-pointer prime, because the next prime (12100202302333) can be obtained adding 12100202302313 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10198142063209 + 1902060239104 = 3193453^2 + 1379152^2 .

It is a cyclic number.

It is not a de Polignac number, because 12100202302313 - 210 = 12100202301289 is a prime.

It is not a weakly prime, because it can be changed into another prime (12100202302303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050101151156 + 6050101151157.

It is an arithmetic number, because the mean of its divisors is an integer number (6050101151157).

Almost surely, 212100202302313 is an apocalyptic number.

It is an amenable number.

12100202302313 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100202302313 is an equidigital number, since it uses as much as digits as its factorization.

12100202302313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12100202302313 its reverse (31320320200121), we get a palindrome (43420522502434).

The spelling of 12100202302313 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred two thousand, three hundred thirteen".