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105242224300 = 22521052422243
BaseRepresentation
bin110001000000011101…
…1001110011010101100
3101001122111210221002021
41202000323032122230
53211014002134200
6120203030035524
710414000101163
oct1420073163254
9331574727067
10105242224300
11406a6545884
12184914a8ba4
139c028ba705
1451453763da
152b0e58b41a
hex1880ece6ac

105242224300 has 18 divisors (see below), whose sum is σ = 228375626948. Its totient is φ = 42096889680.

The previous prime is 105242224277. The next prime is 105242224301. The reversal of 105242224300 is 3422242501.

It is a super-2 number, since 2×1052422243002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (105242224301) 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 5 ways as a sum of consecutive naturals, for example, 526211022 + ... + 526211221.

Almost surely, 2105242224300 is an apocalyptic number.

105242224300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105242224300 is an abundant number, since it is smaller than the sum of its proper divisors (123133402648).

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

105242224300 is a wasteful number, since it uses less digits than its factorization.

105242224300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052422257 (or 1052422250 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 105242224300 its reverse (3422242501), we get a palindrome (108664466801).

The spelling of 105242224300 in words is "one hundred five billion, two hundred forty-two million, two hundred twenty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1052422243 2104844486 4209688972 5262111215 10524222430 21048444860 26310556075 52621112150 105242224300