Search a number
-
+
105311042300 = 22521053110423
BaseRepresentation
bin110001000010100000…
…1101111101011111100
3101001211022022020122002
41202011001233223330
53211134111323200
6120213525041432
710415464042562
oct1420501575374
9331738266562
10105311042300
1140731379862
12184b0556278
139c13c34219
14515056ba32
152b15631bd5
hex188506fafc

105311042300 has 18 divisors (see below), whose sum is σ = 228524962008. Its totient is φ = 42124416880.

The previous prime is 105311042297. The next prime is 105311042311. The reversal of 105311042300 is 3240113501.

It is a super-2 number, since 2×1053110423002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 526555112 + ... + 526555311.

Almost surely, 2105311042300 is an apocalyptic number.

105311042300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105311042300 is an abundant number, since it is smaller than the sum of its proper divisors (123213919708).

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

105311042300 is a wasteful number, since it uses less digits than its factorization.

105311042300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053110437 (or 1053110430 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 105311042300 its reverse (3240113501), we get a palindrome (108551155801).

The spelling of 105311042300 in words is "one hundred five billion, three hundred eleven million, forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1053110423 2106220846 4212441692 5265552115 10531104230 21062208460 26327760575 52655521150 105311042300