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30122032249 = 19728812
BaseRepresentation
bin11100000011011010…
…011011110001111001
32212202020220210011001
4130003122123301321
5443142220012444
621500551405001
72114311023001
oct340332336171
985666823131
1030122032249
1111858113731
125a07983761
132ac075102a
14165a733001
15bb46d18d4
hex70369bc79

30122032249 has 9 divisors (see below), whose sum is σ = 30310116301. Its totient is φ = 29935111360.

The previous prime is 30122032247. The next prime is 30122032273. The reversal of 30122032249 is 94223022103.

The square root of 30122032249 is 173557.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2455698025 + 27666334224 = 49555^2 + 166332^2 .

It is not a de Polignac number, because 30122032249 - 21 = 30122032247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30122032247) 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 in 8 ways as a sum of consecutive naturals, for example, 34190289 + ... + 34191169.

Almost surely, 230122032249 is an apocalyptic number.

30122032249 is the 173557-th square number.

30122032249 is the 86779-th centered octagonal number.

It is an amenable number.

30122032249 is a deficient number, since it is larger than the sum of its proper divisors (188084052).

30122032249 is an frugal number, since it uses more digits than its factorization.

30122032249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Multiplying 30122032249 by its product of nonzero digits (5184), we get a square (156152615178816 = 124961042).

The spelling of 30122032249 in words is "thirty billion, one hundred twenty-two million, thirty-two thousand, two hundred forty-nine".

Divisors: 1 197 881 38809 173557 776161 34190729 152903717 30122032249