Search a number
-
+
10210210213 = 72829251353
BaseRepresentation
bin10011000001001001…
…10111000110100101
3222100120022102022211
421200210313012211
5131402303211323
64405052123421
7511006232500
oct114044670645
928316272284
1010210210213
11436a441065
121b8b466571
13c6940ac08
146cc042137
153eb58270d
hex2609371a5

10210210213 has 12 divisors (see below), whose sum is σ = 11891557740. Its totient is φ = 8741017152.

The previous prime is 10210210187. The next prime is 10210210229. The reversal of 10210210213 is 31201201201.

It can be written as a sum of positive squares in 2 ways, for example, as 1834665889 + 8375544324 = 42833^2 + 91518^2 .

It is not a de Polignac number, because 10210210213 - 217 = 10210079141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10210210193 and 10210210202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210210243) 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, 85056 + ... + 166297.

It is an arithmetic number, because the mean of its divisors is an integer number (990963145).

Almost surely, 210210210213 is an apocalyptic number.

It is an amenable number.

10210210213 is a deficient number, since it is larger than the sum of its proper divisors (1681347527).

10210210213 is an equidigital number, since it uses as much as digits as its factorization.

10210210213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252196 (or 252189 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10210210213 its reverse (31201201201), we get a palindrome (41411411414).

The spelling of 10210210213 in words is "ten billion, two hundred ten million, two hundred ten thousand, two hundred thirteen".

Divisors: 1 7 49 829 5803 40621 251353 1759471 12316297 208371637 1458601459 10210210213