Search a number
-
+
10010131857 = 3211149678607
BaseRepresentation
bin10010101001010011…
…00111110110010001
3221211121211101102100
421110221213312101
5131000043204412
64333143511013
7503026500615
oct112451476621
927747741370
1010010131857
114277505250
121b34458469
13c36b2705b
146ad63d345
153d8c0eedc
hex254a67d91

10010131857 has 24 divisors (see below), whose sum is σ = 15879427200. Its totient is φ = 6026021280.

The previous prime is 10010131841. The next prime is 10010131861. The reversal of 10010131857 is 75813101001.

10010131857 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10010131857 - 24 = 10010131841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10010131857.

It is not an unprimeable number, because it can be changed into a prime (10010132857) 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 23 ways as a sum of consecutive naturals, for example, 324553 + ... + 354054.

It is an arithmetic number, because the mean of its divisors is an integer number (661642800).

Almost surely, 210010131857 is an apocalyptic number.

It is an amenable number.

10010131857 is a deficient number, since it is larger than the sum of its proper divisors (5869295343).

10010131857 is a wasteful number, since it uses less digits than its factorization.

10010131857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678773 (or 678770 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

Adding to 10010131857 its reverse (75813101001), we get a palindrome (85823232858).

The spelling of 10010131857 in words is "ten billion, ten million, one hundred thirty-one thousand, eight hundred fifty-seven".

Divisors: 1 3 9 11 33 99 149 447 1341 1639 4917 14751 678607 2035821 6107463 7464677 22394031 67182093 101112443 303337329 910011987 1112236873 3336710619 10010131857