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20231313120 = 2532514049523
BaseRepresentation
bin10010110101111000…
…010101011011100000
31221012221210012012100
4102311320111123200
5312413204004440
613143311130400
71314231216114
oct226570253340
957187705170
1020231313120
118642059a97
123b07513a00
131ba55a67c5
14d9ccd9744
157d620d230
hex4b5e156e0

20231313120 has 72 divisors (see below), whose sum is σ = 69039360936. Its totient is φ = 5395016448.

The previous prime is 20231313103. The next prime is 20231313127. The reversal of 20231313120 is 2131313202.

20231313120 is a `hidden beast` number, since 2 + 0 + 231 + 313 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 20231313093 and 20231313102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20231313127) 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 11 ways as a sum of consecutive naturals, for example, 7023322 + ... + 7026201.

It is an arithmetic number, because the mean of its divisors is an integer number (958880013).

Almost surely, 220231313120 is an apocalyptic number.

20231313120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231313120 is an abundant number, since it is smaller than the sum of its proper divisors (48808047816).

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

20231313120 is a wasteful number, since it uses less digits than its factorization.

20231313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14049544 (or 14049533 counting only the distinct ones).

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

Adding to 20231313120 its reverse (2131313202), we get a palindrome (22362626322).

The spelling of 20231313120 in words is "twenty billion, two hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 14049523 28099046 42148569 56198092 70247615 84297138 112396184 126445707 140495230 168594276 210742845 224792368 252891414 280990460 337188552 421485690 449584736 505782828 561980920 632228535 674377104 842971380 1011565656 1123961840 1264457070 1348754208 1685942760 2023131312 2247923680 2528914140 3371885520 4046262624 5057828280 6743771040 10115656560 20231313120