Search a number
-
+
10474320200 = 235268297669
BaseRepresentation
bin10011100000101000…
…10111000101001000
31000000222021121010012
421300110113011020
5132422411221300
64451205011052
7520364152451
oct116024270510
930028247105
1010474320200
114495531883
1220439b3a88
13cac050b06
14715152128
15414852435
hex270517148

10474320200 has 48 divisors (see below), whose sum is σ = 24359536500. Its totient is φ = 4188568320.

The previous prime is 10474320193. The next prime is 10474320203. The reversal of 10474320200 is 202347401.

It can be written as a sum of positive squares in 6 ways, for example, as 6860146276 + 3614173924 = 82826^2 + 60118^2 .

It is a super-2 number, since 2×104743202002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10474320203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361966 + ... + 1369634.

Almost surely, 210474320200 is an apocalyptic number.

10474320200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10474320200 is an abundant number, since it is smaller than the sum of its proper divisors (13885216300).

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

10474320200 is a wasteful number, since it uses less digits than its factorization.

10474320200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14514 (or 14505 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 10474320200 its reverse (202347401), we get a palindrome (10676667601).

The spelling of 10474320200 in words is "ten billion, four hundred seventy-four million, three hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 6829 7669 13658 15338 27316 30676 34145 38345 54632 61352 68290 76690 136580 153380 170725 191725 273160 306760 341450 383450 682900 766900 1365800 1533800 52371601 104743202 209486404 261858005 418972808 523716010 1047432020 1309290025 2094864040 2618580050 5237160100 10474320200