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2300120221 = 721923163659
BaseRepresentation
bin1000100100011001…
…0000110010011101
312221022002012202211
42021012100302131
514202312321341
61020123320421
7110666461600
oct21106206235
95838065684
102300120221
11a803a3403
12542380111
132a86b7aa9
1417b6a0337
15d6de7181
hex89190c9d

2300120221 has 48 divisors (see below), whose sum is σ = 2961446400. Its totient is φ = 1772904672.

The previous prime is 2300120209. The next prime is 2300120233. The reversal of 2300120221 is 1220210032.

It is an interprime number because it is at equal distance from previous prime (2300120209) and next prime (2300120233).

It is not a de Polignac number, because 2300120221 - 29 = 2300119709 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300120201) 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 47 ways as a sum of consecutive naturals, for example, 3489990 + ... + 3490648.

It is an arithmetic number, because the mean of its divisors is an integer number (61696800).

Almost surely, 22300120221 is an apocalyptic number.

It is an amenable number.

2300120221 is a deficient number, since it is larger than the sum of its proper divisors (661326179).

2300120221 is a wasteful number, since it uses less digits than its factorization.

2300120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2300120221 is about 47959.5686073176. The cubic root of 2300120221 is about 1320.0291203019.

Adding to 2300120221 its reverse (1220210032), we get a palindrome (3520330253).

The spelling of 2300120221 in words is "two billion, three hundred million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 7 19 23 49 133 161 163 437 659 931 1127 1141 3059 3097 3749 4613 7987 12521 15157 21413 21679 26243 32291 71231 87647 106099 107417 151753 183701 287983 498617 613529 742693 751919 2015881 2040923 2470591 3490319 5263433 14111167 14286461 17294137 46941229 100005227 121058959 328588603 2300120221