Search a number
-
+
10002424221 = 328912487421
BaseRepresentation
bin10010101000011000…
…01110000110011101
3221211002022210112100
421110030032012131
5130441110033341
64332310355313
7502604126436
oct112414160635
927732283470
1010002424221
1142731203a9
121b3195bb39
13c35358a1a
146ac5d448d
153d81db3b6
hex25430e19d

10002424221 has 12 divisors (see below), whose sum is σ = 14610283740. Its totient is φ = 6593357760.

The previous prime is 10002424189. The next prime is 10002424241. The reversal of 10002424221 is 12242420001.

10002424221 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 242 + 422 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1182396996 + 8820027225 = 34386^2 + 93915^2 .

It is not a de Polignac number, because 10002424221 - 25 = 10002424189 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10002424194 and 10002424203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002424241) 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, 6242910 + ... + 6244511.

It is an arithmetic number, because the mean of its divisors is an integer number (1217523645).

Almost surely, 210002424221 is an apocalyptic number.

It is an amenable number.

10002424221 is a deficient number, since it is larger than the sum of its proper divisors (4607859519).

10002424221 is a wasteful number, since it uses less digits than its factorization.

10002424221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12487516 (or 12487513 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10002424221 its reverse (12242420001), we get a palindrome (22244844222).

The spelling of 10002424221 in words is "ten billion, two million, four hundred twenty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 89 267 801 12487421 37462263 112386789 1111380469 3334141407 10002424221