Search a number
-
+
10103862852 = 2232280662857
BaseRepresentation
bin10010110100011110…
…01011011001000100
3222002011012102011200
421122033023121010
5131143042102402
64350332502500
7505245263046
oct113217133104
928064172150
1010103862852
114315404786
121b5b91aa30
13c50384295
146bbc7ba96
153e207721c
hex25a3cb644

10103862852 has 18 divisors (see below), whose sum is σ = 25540320078. Its totient is φ = 3367954272.

The previous prime is 10103862851. The next prime is 10103862859. The reversal of 10103862852 is 25826830101.

It is a happy number.

10103862852 is a `hidden beast` number, since 10 + 10 + 3 + 8 + 628 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7982707716 + 2121155136 = 89346^2 + 46056^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 280662857 = 10103862852 / (1 + 0 + 1 + 0 + 3 + 8 + 6 + 2 + 8 + 5 + 2).

It is not an unprimeable number, because it can be changed into a prime (10103862851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140331393 + ... + 140331464.

It is an arithmetic number, because the mean of its divisors is an integer number (1418906671).

Almost surely, 210103862852 is an apocalyptic number.

10103862852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10103862852 is an abundant number, since it is smaller than the sum of its proper divisors (15436457226).

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

10103862852 is a wasteful number, since it uses less digits than its factorization.

10103862852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280662867 (or 280662862 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10103862852 in words is "ten billion, one hundred three million, eight hundred sixty-two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 280662857 561325714 841988571 1122651428 1683977142 2525965713 3367954284 5051931426 10103862852