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2023121320 = 2351128116363
BaseRepresentation
bin111100010010110…
…0110000110101000
312012222212012201021
41320211212012220
513120404340240
6532430302224
7101064150613
oct17045460650
95188765637
102023121320
11948aa9aa0
12485657974
132631b140c
1415299717a
15bc92d54a
hex789661a8

2023121320 has 64 divisors (see below), whose sum is σ = 4983819840. Its totient is φ = 733017600.

The previous prime is 2023121297. The next prime is 2023121323. The reversal of 2023121320 is 231213202.

It is a junction number, because it is equal to n+sod(n) for n = 2023121294 and 2023121303.

It is not an unprimeable number, because it can be changed into a prime (2023121323) 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, 115459 + ... + 131821.

It is an arithmetic number, because the mean of its divisors is an integer number (77872185).

Almost surely, 22023121320 is an apocalyptic number.

2023121320 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 2023121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2491909920).

2023121320 is an abundant number, since it is smaller than the sum of its proper divisors (2960698520).

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

2023121320 is a wasteful number, since it uses less digits than its factorization.

2023121320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16666 (or 16662 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2023121320 is about 44979.1209340512. The cubic root of 2023121320 is about 1264.7576324346.

Adding to 2023121320 its reverse (231213202), we get a palindrome (2254334522).

The spelling of 2023121320 in words is "two billion, twenty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 281 440 562 1124 1405 2248 2810 3091 5620 6182 11240 12364 15455 16363 24728 30910 32726 61820 65452 81815 123640 130904 163630 179993 327260 359986 654520 719972 899965 1439944 1799930 3599860 4598003 7199720 9196006 18392012 22990015 36784024 45980030 50578033 91960060 101156066 183920120 202312132 252890165 404624264 505780330 1011560660 2023121320