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20231143400 = 23521321793571
BaseRepresentation
bin10010110101110111…
…101011111111101000
31221012221110120101102
4102311313223333220
5312413133042100
613143303340532
71314226611236
oct226567537750
957187416342
1020231143400
118641a53526
123b07451748
131ba5547490
14d9cc93956
157d61c7cd5
hex4b5debfe8

20231143400 has 96 divisors (see below), whose sum is σ = 50693109600. Its totient is φ = 7464441600.

The previous prime is 20231143393. The next prime is 20231143409. The reversal of 20231143400 is 434113202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20231143409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5663615 + ... + 5667185.

It is an arithmetic number, because the mean of its divisors is an integer number (528053225).

Almost surely, 220231143400 is an apocalyptic number.

20231143400 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 20231143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25346554800).

20231143400 is an abundant number, since it is smaller than the sum of its proper divisors (30461966200).

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

20231143400 is a wasteful number, since it uses less digits than its factorization.

20231143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5779 (or 5770 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 20231143400 its reverse (434113202), we get a palindrome (20665256602).

The spelling of 20231143400 in words is "twenty billion, two hundred thirty-one million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2179 2600 3571 4358 7142 8716 10895 14284 17432 17855 21790 28327 28568 35710 43580 46423 54475 56654 71420 87160 89275 92846 108950 113308 141635 142840 178550 185692 217900 226616 232115 283270 357100 371384 435800 464230 566540 708175 714200 928460 1133080 1160575 1416350 1856920 2321150 2832700 4642300 5665400 7781209 9284600 15562418 31124836 38906045 62249672 77812090 101155717 155624180 194530225 202311434 311248360 389060450 404622868 505778585 778120900 809245736 1011557170 1556241800 2023114340 2528892925 4046228680 5057785850 10115571700 20231143400