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20231111200 = 255234972461
BaseRepresentation
bin10010110101110111…
…100100001000100000
31221012221101221012211
4102311313210020200
5312413131024300
613143302531504
71314226415326
oct226567441040
957187357184
1020231111200
118641a31313
123b07436b94
131ba5535921
14d9cc85d16
157d61bd4ba
hex4b5de4220

20231111200 has 72 divisors (see below), whose sum is σ = 49531400100. Its totient is φ = 8069145600.

The previous prime is 20231111179. The next prime is 20231111203. The reversal of 20231111200 is 211113202.

It can be written as a sum of positive squares in 6 ways, for example, as 16403461776 + 3827649424 = 128076^2 + 61868^2 .

It is not an unprimeable number, because it can be changed into a prime (20231111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 242970 + ... + 315430.

Almost surely, 220231111200 is an apocalyptic number.

20231111200 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 20231111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24765700050).

20231111200 is an abundant number, since it is smaller than the sum of its proper divisors (29300288900).

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

20231111200 is a wasteful number, since it uses less digits than its factorization.

20231111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72830 (or 72817 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 20231111200 its reverse (211113202), we get a palindrome (20442224402).

The spelling of 20231111200 in words is "twenty billion, two hundred thirty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 349 400 698 800 1396 1745 2792 3490 5584 6980 8725 11168 13960 17450 27920 34900 55840 69800 72461 139600 144922 279200 289844 362305 579688 724610 1159376 1449220 1811525 2318752 2898440 3623050 5796880 7246100 11593760 14492200 25288889 28984400 50577778 57968800 101155556 126444445 202311112 252888890 404622224 505777780 632222225 809244448 1011555560 1264444450 2023111120 2528888900 4046222240 5057777800 10115555600 20231111200