Search a number
-
+
10124461197 = 321766172949
BaseRepresentation
bin10010110110111011…
…10000010010001101
3222010120221220210100
421123131300102031
5131213330224242
64352350201313
7505615333404
oct113335602215
928116856710
1010124461197
114325aa3604
121b667b3239
13c54716b56
146c08c063b
153e3c9554c
hex25b77048d

10124461197 has 12 divisors (see below), whose sum is σ = 15484470300. Its totient is φ = 6352603008.

The previous prime is 10124461189. The next prime is 10124461211. The reversal of 10124461197 is 79116442101.

10124461197 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 4 + 461 + 197 = 666.

10124461197 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7996115241 + 2128345956 = 89421^2 + 46134^2 .

It is not a de Polignac number, because 10124461197 - 23 = 10124461189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10124461147) 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 11 ways as a sum of consecutive naturals, for example, 33086322 + ... + 33086627.

It is an arithmetic number, because the mean of its divisors is an integer number (1290372525).

Almost surely, 210124461197 is an apocalyptic number.

10124461197 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10124461197 is a deficient number, since it is larger than the sum of its proper divisors (5360009103).

10124461197 is a wasteful number, since it uses less digits than its factorization.

10124461197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66172972 (or 66172969 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 10124461197 in words is "ten billion, one hundred twenty-four million, four hundred sixty-one thousand, one hundred ninety-seven".

Divisors: 1 3 9 17 51 153 66172949 198518847 595556541 1124940133 3374820399 10124461197