Search a number
-
+
20231021200 = 2452133890581
BaseRepresentation
bin10010110101110111…
…001110001010010000
31221012221020100202111
4102311313032022100
5312413120134300
613143300555104
71314225562045
oct226567161220
957187210674
1020231021200
11864197a735
123b073b2a94
131ba5503980
14d9cc611cc
157d61a19ba
hex4b5dce290

20231021200 has 60 divisors (see below), whose sum is σ = 52343890228. Its totient is φ = 7469913600.

The previous prime is 20231021189. The next prime is 20231021219. The reversal of 20231021200 is 212013202.

It can be written as a sum of positive squares in 6 ways, for example, as 76108176 + 20154913024 = 8724^2 + 141968^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

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, 1940091 + ... + 1950490.

Almost surely, 220231021200 is an apocalyptic number.

20231021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20231021200 is an abundant number, since it is smaller than the sum of its proper divisors (32112869028).

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

20231021200 is a wasteful number, since it uses less digits than its factorization.

20231021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890612 (or 3890601 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20231021200 its reverse (212013202), we get a palindrome (20443034402).

The spelling of 20231021200 in words is "twenty billion, two hundred thirty-one million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 1040 1300 2600 5200 3890581 7781162 15562324 19452905 31124648 38905810 50577553 62249296 77811620 97264525 101155106 155623240 194529050 202310212 252887765 311246480 389058100 404620424 505775530 778116200 809240848 1011551060 1264438825 1556232400 2023102120 2528877650 4046204240 5057755300 10115510600 20231021200