Search a number
-
+
105036861122 = 2101222692
BaseRepresentation
bin110000111010010101…
…1110100111011000010
3101001010012101101202122
41201310223310323002
53210103414023442
6120130412244242
710405624405544
oct1416453647302
9331105341678
10105036861122
114060062a446
1218434770682
139b9c1a623b
145125d99694
152aeb522dd2
hex1874af4ec2

105036861122 has 18 divisors (see below), whose sum is σ = 159200853579. Its totient is φ = 51975529200.

The previous prime is 105036861121. The next prime is 105036861161. The reversal of 105036861122 is 221168630501.

It can be written as a sum of positive squares in 5 ways, for example, as 53449278481 + 51587582641 = 231191^2 + 227129^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=229169.

It is a super-2 number, since 2×1050368611222 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105036861121) 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 8 ways as a sum of consecutive naturals, for example, 46291004 + ... + 46293272.

Almost surely, 2105036861122 is an apocalyptic number.

105036861122 is a deficient number, since it is larger than the sum of its proper divisors (54163992457).

105036861122 is an frugal number, since it uses more digits than its factorization.

105036861122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 105036861122 in words is "one hundred five billion, thirty-six million, eight hundred sixty-one thousand, one hundred twenty-two".

Divisors: 1 2 101 202 2269 4538 10201 20402 229169 458338 5148361 10296722 23146069 46292138 519984461 1039968922 52518430561 105036861122