Search a number
-
+
10120022225 = 5217181293449
BaseRepresentation
bin10010110110011001…
…10100100011010001
3222010021121101122222
421123030310203101
5131211211202400
64352111110425
7505532524655
oct113314644321
928107541588
1010120022225
114323541535
121b65212415
13c53821541
146c0086a65
153e36ba185
hex25b3348d1

10120022225 has 48 divisors (see below), whose sum is σ = 13435858800. Its totient is φ = 7535001600.

The previous prime is 10120022221. The next prime is 10120022309. The reversal of 10120022225 is 52222002101.

It can be written as a sum of positive squares in 24 ways, for example, as 5087112976 + 5032909249 = 71324^2 + 70943^2 .

It is not a de Polignac number, because 10120022225 - 22 = 10120022221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (10120022221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22538801 + ... + 22539249.

It is an arithmetic number, because the mean of its divisors is an integer number (279913725).

Almost surely, 210120022225 is an apocalyptic number.

It is an amenable number.

10120022225 is a deficient number, since it is larger than the sum of its proper divisors (3315836575).

10120022225 is a wasteful number, since it uses less digits than its factorization.

10120022225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 10120022225 its reverse (52222002101), we get a palindrome (62342024326).

The spelling of 10120022225 in words is "ten billion, one hundred twenty million, twenty-two thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 181 293 425 449 905 1465 2245 3077 4525 4981 7325 7633 11225 15385 24905 38165 53033 76925 81269 124525 131557 190825 265165 406345 657785 901561 1325825 1381573 2031725 2236469 3288925 4507805 6907865 11182345 22539025 23811817 34539325 55911725 119059085 404800889 595295425 2024004445 10120022225