Search a number
-
+
300213332381 is a prime number
BaseRepresentation
bin1000101111001100001…
…10111110100110011101
31001200220101100102202102
410113212012332212131
514404314103114011
6345525513334445
730455365135544
oct4274606764635
91050811312672
10300213332381
11106357666056
124a224a07425
13224050a34a1
141075d5d515b
157c2129d73b
hex45e61be99d

300213332381 has 2 divisors, whose sum is σ = 300213332382. Its totient is φ = 300213332380.

The previous prime is 300213332267. The next prime is 300213332387. The reversal of 300213332381 is 183233312003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 300204272281 + 9060100 = 547909^2 + 3010^2 .

It is a cyclic number.

It is not a de Polignac number, because 300213332381 - 218 = 300213070237 is a prime.

It is a super-2 number, since 2×3002133323812 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300213332387) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150106666190 + 150106666191.

It is an arithmetic number, because the mean of its divisors is an integer number (150106666191).

Almost surely, 2300213332381 is an apocalyptic number.

It is an amenable number.

300213332381 is a deficient number, since it is larger than the sum of its proper divisors (1).

300213332381 is an equidigital number, since it uses as much as digits as its factorization.

300213332381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 300213332381 its reverse (183233312003), we get a palindrome (483446644384).

The spelling of 300213332381 in words is "three hundred billion, two hundred thirteen million, three hundred thirty-two thousand, three hundred eighty-one".