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2023141320 = 233354739857
BaseRepresentation
bin111100010010110…
…1010111111001000
312012222220020011000
41320211222333020
513120411010240
6532430535000
7101064263124
oct17045527710
95188806130
102023141320
11949013022
12485667460
132631ba555
141529a0584
15bc934430
hex7896afc8

2023141320 has 128 divisors (see below), whose sum is σ = 6887462400. Its totient is φ = 528012288.

The previous prime is 2023141301. The next prime is 2023141327. The reversal of 2023141320 is 231413202.

2023141320 is a `hidden beast` number, since 2 + 0 + 231 + 413 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2023141293 and 2023141302.

It is not an unprimeable number, because it can be changed into a prime (2023141327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30832 + ... + 70688.

It is an arithmetic number, because the mean of its divisors is an integer number (53808300).

Almost surely, 22023141320 is an apocalyptic number.

2023141320 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 2023141320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443731200).

2023141320 is an abundant number, since it is smaller than the sum of its proper divisors (4864321080).

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

2023141320 is a wasteful number, since it uses less digits than its factorization.

2023141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39924 (or 39914 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2023141320 is about 44979.3432588783. The cubic root of 2023141320 is about 1264.7618000986.

Adding to 2023141320 its reverse (231413202), we get a palindrome (2254554522).

The spelling of 2023141320 in words is "two billion, twenty-three million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 47 54 60 72 90 94 108 120 135 141 180 188 216 235 270 282 360 376 423 470 540 564 705 846 940 1080 1128 1269 1410 1692 1880 2115 2538 2820 3384 4230 5076 5640 6345 8460 10152 12690 16920 25380 39857 50760 79714 119571 159428 199285 239142 318856 358713 398570 478284 597855 717426 797140 956568 1076139 1195710 1434852 1594280 1793565 1873279 2152278 2391420 2869704 3587130 3746558 4304556 4782840 5380695 5619837 7174260 7493116 8609112 9366395 10761390 11239674 14348520 14986232 16859511 18732790 21522780 22479348 28099185 33719022 37465580 43045560 44958696 50578533 56198370 67438044 74931160 84297555 101157066 112396740 134876088 168595110 202314132 224793480 252892665 337190220 404628264 505785330 674380440 1011570660 2023141320