Search a number
-
+
10221120200 = 235267375937
BaseRepresentation
bin10011000010011100…
…11110101011001000
3222101022211201000102
421201032132223020
5131413101321300
64410122024532
7511201042154
oct114116365310
928338751012
1010221120200
114375612985
121b93048148
13c6b75aa25
146cd682064
153ec4da0d5
hex26139eac8

10221120200 has 48 divisors (see below), whose sum is σ = 23799728580. Its totient is φ = 4082319360.

The previous prime is 10221120199. The next prime is 10221120269. The reversal of 10221120200 is 202112201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3815038756 + 6406081444 = 61766^2 + 80038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96632 + ... + 172568.

Almost surely, 210221120200 is an apocalyptic number.

10221120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221120200 is an abundant number, since it is smaller than the sum of its proper divisors (13578608380).

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

10221120200 is a wasteful number, since it uses less digits than its factorization.

10221120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76626 (or 76617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10221120200 its reverse (202112201), we get a palindrome (10423232401).

The spelling of 10221120200 in words is "ten billion, two hundred twenty-one million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 673 1346 2692 3365 5384 6730 13460 16825 26920 33650 67300 75937 134600 151874 303748 379685 607496 759370 1518740 1898425 3037480 3796850 7593700 15187400 51105601 102211202 204422404 255528005 408844808 511056010 1022112020 1277640025 2044224040 2555280050 5110560100 10221120200