Search a number
-
+
10122210200 = 235250611051
BaseRepresentation
bin10010110110101010…
…01010101110011000
3222010102201120000002
421123111022232120
5131212241211300
64352230032132
7505560236624
oct113325125630
928112646002
1010122210200
1143247a6383
121b65aa8648
13c541093bb
146c0496184
153e399d5d5
hex25b54ab98

10122210200 has 24 divisors (see below), whose sum is σ = 23534139180. Its totient is φ = 4048884000.

The previous prime is 10122210181. The next prime is 10122210209. The reversal of 10122210200 is 201222101.

It is a happy number.

10122210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122210209) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 25305326 + ... + 25305725.

Almost surely, 210122210200 is an apocalyptic number.

10122210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122210200 is an abundant number, since it is smaller than the sum of its proper divisors (13411928980).

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

10122210200 is a wasteful number, since it uses less digits than its factorization.

10122210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50611067 (or 50611058 counting only the distinct ones).

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

Adding to 10122210200 its reverse (201222101), we get a palindrome (10323432301).

The spelling of 10122210200 in words is "ten billion, one hundred twenty-two million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50611051 101222102 202444204 253055255 404888408 506110510 1012221020 1265276275 2024442040 2530552550 5061105100 10122210200