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214413410513 is a prime number
BaseRepresentation
bin1100011110110000001…
…0010000000011010001
3202111102211122210200102
43013230002100003101
512003104313114023
6242300011302145
721330235630001
oct3075402200321
9674384583612
10214413410513
1182a28864915
123567a74a955
13172b0486653
14a540450001
15589da19628
hex31ec0900d1

214413410513 has 2 divisors, whose sum is σ = 214413410514. Its totient is φ = 214413410512.

The previous prime is 214413410501. The next prime is 214413410579. The reversal of 214413410513 is 315014314412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134947491904 + 79465918609 = 367352^2 + 281897^2 .

It is a cyclic number.

It is not a de Polignac number, because 214413410513 - 28 = 214413410257 is a prime.

It is a super-2 number, since 2×2144134105132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (214413412513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107206705256 + 107206705257.

It is an arithmetic number, because the mean of its divisors is an integer number (107206705257).

Almost surely, 2214413410513 is an apocalyptic number.

It is an amenable number.

214413410513 is a deficient number, since it is larger than the sum of its proper divisors (1).

214413410513 is an equidigital number, since it uses as much as digits as its factorization.

214413410513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 214413410513 its reverse (315014314412), we get a palindrome (529427724925).

The spelling of 214413410513 in words is "two hundred fourteen billion, four hundred thirteen million, four hundred ten thousand, five hundred thirteen".