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300233100113 is a prime number
BaseRepresentation
bin1000101111001110100…
…10011000101101010001
31001200221202112201222122
410113213102120231101
514404334133200423
6345531501144025
730456025146452
oct4274722305521
91050852481878
10300233100113
11106367837921
124a22b55b015
1322409204c7b
141076209d129
157c22da58c8
hex45e7498b51

300233100113 has 2 divisors, whose sum is σ = 300233100114. Its totient is φ = 300233100112.

The previous prime is 300233100067. The next prime is 300233100137. The reversal of 300233100113 is 311001332003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298238316544 + 1994783569 = 546112^2 + 44663^2 .

It is a cyclic number.

It is not a de Polignac number, because 300233100113 - 212 = 300233096017 is a prime.

It is a super-2 number, since 2×3002331001132 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300233100091 and 300233100100.

It is not a weakly prime, because it can be changed into another prime (300233100143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150116550056 + 150116550057.

It is an arithmetic number, because the mean of its divisors is an integer number (150116550057).

Almost surely, 2300233100113 is an apocalyptic number.

It is an amenable number.

300233100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

300233100113 is an equidigital number, since it uses as much as digits as its factorization.

300233100113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 300233100113 its reverse (311001332003), we get a palindrome (611234432116).

The spelling of 300233100113 in words is "three hundred billion, two hundred thirty-three million, one hundred thousand, one hundred thirteen".