Search a number
-
+
105118462840 = 2352627961571
BaseRepresentation
bin110000111100110001…
…1000111001101111000
3101001022212221012021111
41201321203013031320
53210240311302330
6120142445250104
710410635122456
oct1417143071570
9331285835244
10105118462840
11406426a4a86
1218457b63934
139bb3077691
145132b5b9d6
152b0379132a
hex18798c7378

105118462840 has 16 divisors (see below), whose sum is σ = 236516541480. Its totient is φ = 42047385120.

The previous prime is 105118462807. The next prime is 105118462843. The reversal of 105118462840 is 48264811501.

It is a super-2 number, since 2×1051184628402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 2627961571 = 105118462840 / (1 + 0 + 5 + 1 + 1 + 8 + 4 + 6 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 105118462793 and 105118462802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105118462843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1313980746 + ... + 1313980825.

Almost surely, 2105118462840 is an apocalyptic number.

105118462840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105118462840 is an abundant number, since it is smaller than the sum of its proper divisors (131398078640).

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

105118462840 is a wasteful number, since it uses less digits than its factorization.

105118462840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627961582 (or 2627961578 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The spelling of 105118462840 in words is "one hundred five billion, one hundred eighteen million, four hundred sixty-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 2627961571 5255923142 10511846284 13139807855 21023692568 26279615710 52559231420 105118462840