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2303300120 = 2351138913457
BaseRepresentation
bin1000100101001001…
…1001001000011000
312221112001202202212
42021102121020120
514204121100440
61020315414252
7111035504462
oct21122311030
95845052685
102303300120
11a82175520
12543454388
132a925c2a4
1417bc8b132
15d7324465
hex89499218

2303300120 has 64 divisors (see below), whose sum is σ = 5668509600. Its totient is φ = 835348480.

The previous prime is 2303300119. The next prime is 2303300123. The reversal of 2303300120 is 210033032.

It is a junction number, because it is equal to n+sod(n) for n = 2303300095 and 2303300104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303300123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164432 + ... + 177888.

Almost surely, 22303300120 is an apocalyptic number.

2303300120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2303300120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834254800).

2303300120 is an abundant number, since it is smaller than the sum of its proper divisors (3365209480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2303300120 is a wasteful number, since it uses less digits than its factorization.

2303300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13868 (or 13864 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2303300120 is about 47992.7090296016. The cubic root of 2303300120 is about 1320.6371503171.

Adding to 2303300120 its reverse (210033032), we get a palindrome (2513333152).

The spelling of 2303300120 in words is "two billion, three hundred three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 3112 3890 4279 7780 8558 13457 15560 17116 21395 26914 34232 42790 53828 67285 85580 107656 134570 148027 171160 269140 296054 538280 592108 740135 1184216 1480270 2960540 5234773 5921080 10469546 20939092 26173865 41878184 52347730 57582503 104695460 115165006 209390920 230330012 287912515 460660024 575825030 1151650060 2303300120