Search a number
-
+
20231122600 = 23521329326557
BaseRepresentation
bin10010110101110111…
…100110111010101000
31221012221102111212001
4102311313212322220
5312413131410400
613143303100344
71314226463503
oct226567467250
957187374761
1020231122600
118641a39937
123b074416b4
131ba553ab80
14d9cc8a13a
157d61c1a6a
hex4b5de6ea8

20231122600 has 96 divisors (see below), whose sum is σ = 50830418520. Its totient is φ = 7444177920.

The previous prime is 20231122591. The next prime is 20231122627. The reversal of 20231122600 is 622113202.

It can be written as a sum of positive squares in 12 ways, for example, as 1845389764 + 18385732836 = 42958^2 + 135594^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 748522 + ... + 775078.

Almost surely, 220231122600 is an apocalyptic number.

20231122600 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 20231122600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25415209260).

20231122600 is an abundant number, since it is smaller than the sum of its proper divisors (30599295920).

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

20231122600 is a wasteful number, since it uses less digits than its factorization.

20231122600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26879 (or 26870 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 20231122600 its reverse (622113202), we get a palindrome (20853235802).

The spelling of 20231122600 in words is "twenty billion, two hundred thirty-one million, one hundred twenty-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 293 325 520 586 650 1172 1300 1465 2344 2600 2930 3809 5860 7325 7618 11720 14650 15236 19045 26557 29300 30472 38090 53114 58600 76180 95225 106228 132785 152360 190450 212456 265570 345241 380900 531140 663925 690482 761800 1062280 1327850 1380964 1726205 2655700 2761928 3452410 5311400 6904820 7781201 8631025 13809640 15562402 17262050 31124804 34524100 38906005 62249608 69048200 77812010 101155613 155624020 194530025 202311226 311248040 389060050 404622452 505778065 778120100 809244904 1011556130 1556240200 2023112260 2528890325 4046224520 5057780650 10115561300 20231122600