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12100202302217 is a prime number
BaseRepresentation
bin1011000000010100110001…
…0000101000101100001001
31120211202201220101110111212
42300011030100220230021
53041222203242132332
641422431201102505
72356132202354261
oct260051420505411
946752656343455
1012100202302217
113945737825617
121435125327a35
1369a0760b1483
142db91d8607a1
1515eb49cbb8b2
hexb014c428b09

12100202302217 has 2 divisors, whose sum is σ = 12100202302218. Its totient is φ = 12100202302216.

The previous prime is 12100202302183. The next prime is 12100202302259. The reversal of 12100202302217 is 71220320200121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10514124017401 + 1586078284816 = 3242549^2 + 1259396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12100202302217 is a prime.

It is a super-3 number, since 3×121002023022173 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100202302192 and 12100202302201.

It is not a weakly prime, because it can be changed into another prime (12100202301217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050101151108 + 6050101151109.

It is an arithmetic number, because the mean of its divisors is an integer number (6050101151109).

Almost surely, 212100202302217 is an apocalyptic number.

It is an amenable number.

12100202302217 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100202302217 is an equidigital number, since it uses as much as digits as its factorization.

12100202302217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

Adding to 12100202302217 its reverse (71220320200121), we get a palindrome (83320522502338).

The spelling of 12100202302217 in words is "twelve trillion, one hundred billion, two hundred two million, three hundred two thousand, two hundred seventeen".