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2303003120 = 2451119913151
BaseRepresentation
bin1000100101000101…
…0000100111110000
312221111111200100212
42021101100213300
514204032044440
61020305203252
7111033126545
oct21121204760
95844450325
102303003120
11a81a92370
12543330528
132a9187052
1417bc10bcc
15d72b6465
hex894509f0

2303003120 has 80 divisors (see below), whose sum is σ = 5871052800. Its totient is φ = 833184000.

The previous prime is 2303003093. The next prime is 2303003123. The reversal of 2303003120 is 213003032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2303003095 and 2303003104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303003123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168545 + ... + 181695.

It is an arithmetic number, because the mean of its divisors is an integer number (73388160).

Almost surely, 22303003120 is an apocalyptic number.

2303003120 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 2303003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935526400).

2303003120 is an abundant number, since it is smaller than the sum of its proper divisors (3568049680).

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

2303003120 is a wasteful number, since it uses less digits than its factorization.

2303003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13374 (or 13368 counting only the distinct ones).

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

The square root of 2303003120 is about 47989.6147098515. The cubic root of 2303003120 is about 1320.5803845067.

Adding to 2303003120 its reverse (213003032), we get a palindrome (2516006152).

The spelling of 2303003120 in words is "two billion, three hundred three million, three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 880 995 1592 1990 2189 3184 3980 4378 7960 8756 10945 13151 15920 17512 21890 26302 35024 43780 52604 65755 87560 105208 131510 144661 175120 210416 263020 289322 526040 578644 723305 1052080 1157288 1446610 2314576 2617049 2893220 5234098 5786440 10468196 11572880 13085245 20936392 26170490 28787539 41872784 52340980 57575078 104681960 115150156 143937695 209363920 230300312 287875390 460600624 575750780 1151501560 2303003120