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213301210432153 is a prime number
BaseRepresentation
bin110000011111111100001110…
…111000001100001010011001
31000222020101201002200221100111
4300133330032320030022121
5210424211334332312103
62033353120123004321
762633334560446354
oct6037741670141231
91028211632627314
10213301210432153
1161a675985a0998
121bb0b2539696a1
1392032aa78082c
143a95b9583529b
15199d6c22d186d
hexc1ff0ee0c299

213301210432153 has 2 divisors, whose sum is σ = 213301210432154. Its totient is φ = 213301210432152.

The previous prime is 213301210432117. The next prime is 213301210432253. The reversal of 213301210432153 is 351234012103312.

213301210432153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 147426998370304 + 65874212061849 = 12141952^2 + 8116293^2 .

It is a cyclic number.

It is not a de Polignac number, because 213301210432153 - 29 = 213301210431641 is a prime.

It is not a weakly prime, because it can be changed into another prime (213301210432253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106650605216076 + 106650605216077.

It is an arithmetic number, because the mean of its divisors is an integer number (106650605216077).

Almost surely, 2213301210432153 is an apocalyptic number.

It is an amenable number.

213301210432153 is a deficient number, since it is larger than the sum of its proper divisors (1).

213301210432153 is an equidigital number, since it uses as much as digits as its factorization.

213301210432153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 213301210432153 its reverse (351234012103312), we get a palindrome (564535222535465).

The spelling of 213301210432153 in words is "two hundred thirteen trillion, three hundred one billion, two hundred ten million, four hundred thirty-two thousand, one hundred fifty-three".