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20231311320 = 23325112464447
BaseRepresentation
bin10010110101111000…
…010100111111011000
31221012221210002201200
4102311320110333120
5312413203430240
613143311114200
71314231210633
oct226570247730
957187702650
1020231311320
118642058700
123b07512960
131ba55a5a3c
14d9ccd8c1a
157d620c930
hex4b5e14fd8

20231311320 has 144 divisors (see below), whose sum is σ = 72272753280. Its totient is φ = 4904549760.

The previous prime is 20231311307. The next prime is 20231311327. The reversal of 20231311320 is 2311313202.

20231311320 is a `hidden beast` number, since 2 + 0 + 2 + 31 + 311 + 320 = 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 = 20231311293 and 20231311302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231311327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 188664 + ... + 275783.

It is an arithmetic number, because the mean of its divisors is an integer number (501894120).

Almost surely, 220231311320 is an apocalyptic number.

20231311320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231311320 is an abundant number, since it is smaller than the sum of its proper divisors (52041441960).

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

20231311320 is a wasteful number, since it uses less digits than its factorization.

20231311320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464486 (or 464468 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20231311320 its reverse (2311313202), we get a palindrome (22542624522).

The spelling of 20231311320 in words is "twenty billion, two hundred thirty-one million, three hundred eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 464447 928894 1393341 1857788 2322235 2786682 3715576 4180023 4644470 5108917 5573364 6966705 8360046 9288940 10217834 11146728 13933410 15326751 16720092 18577880 20435668 20900115 25544585 27866820 30653502 33440184 40871336 41800230 45980253 51089170 55733640 56198087 61307004 76633755 83600460 91960506 102178340 112396174 122614008 153267510 167200920 168594261 183921012 204356680 224792348 229901265 280990435 306535020 337188522 367842024 449584696 459802530 505782783 561980870 613070040 674377044 842971305 919605060 1011565566 1123961740 1348754088 1685942610 1839210120 2023131132 2247923480 2528913915 3371885220 4046262264 5057827830 6743770440 10115655660 20231311320