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2300122033 = 112731092389
BaseRepresentation
bin1000100100011001…
…0001001110110001
312221022002022020221
42021012101032301
514202312401113
61020123333041
7110666500066
oct21106211661
95838068227
102300122033
11a803a4800
12542381181
132a86b8871
1417b6a0c6d
15d6de798d
hex891913b1

2300122033 has 24 divisors (see below), whose sum is σ = 2587461800. Its totient is φ = 2042599680.

The previous prime is 2300122001. The next prime is 2300122039. The reversal of 2300122033 is 3302210032.

It can be written as a sum of positive squares in 4 ways, for example, as 322274304 + 1977847729 = 17952^2 + 44473^2 .

It is not a de Polignac number, because 2300122033 - 25 = 2300122001 is a prime.

It is a super-2 number, since 2×23001220332 = 10581122733384106178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2300121998 and 2300122016.

It is not an unprimeable number, because it can be changed into a prime (2300122039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 961603 + ... + 963991.

Almost surely, 22300122033 is an apocalyptic number.

It is an amenable number.

2300122033 is a deficient number, since it is larger than the sum of its proper divisors (287339767).

2300122033 is a wasteful number, since it uses less digits than its factorization.

2300122033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2300122033 is about 47959.5874982260. The cubic root of 2300122033 is about 1320.0294669348.

Adding to 2300122033 its reverse (3302210032), we get a palindrome (5602332065).

The spelling of 2300122033 in words is "two billion, three hundred million, one hundred twenty-two thousand, thirty-three".

Divisors: 1 11 73 109 121 803 1199 2389 7957 8833 13189 26279 87527 174397 260401 289069 962797 1918367 2864411 19009273 21102037 31508521 209102003 2300122033