Search a number
-
+
105822303147 = 351139589339
BaseRepresentation
bin110001010001110000…
…0000011001110101011
3101010010221022222200000
41202203200003032223
53213211002200042
6120340351114043
710434242510151
oct1424340031653
9333127288600
10105822303147
1140973a27690
1218613812923
139c95b2ca32
14519c4153d1
152b4547174c
hex18a38033ab

105822303147 has 24 divisors (see below), whose sum is σ = 172926237120. Its totient is φ = 64134727560.

The previous prime is 105822303131. The next prime is 105822303151. The reversal of 105822303147 is 741303228501.

105822303147 is a `hidden beast` number, since 1 + 0 + 582 + 2 + 3 + 0 + 31 + 47 = 666.

It is not a de Polignac number, because 105822303147 - 24 = 105822303131 is a prime.

It is a super-2 number, since 2×1058223031472 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105822303947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19791997 + ... + 19797342.

It is an arithmetic number, because the mean of its divisors is an integer number (7205259880).

Almost surely, 2105822303147 is an apocalyptic number.

105822303147 is a deficient number, since it is larger than the sum of its proper divisors (67103933973).

105822303147 is an equidigital number, since it uses as much as digits as its factorization.

105822303147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39589365 (or 39589353 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 105822303147 in words is "one hundred five billion, eight hundred twenty-two million, three hundred three thousand, one hundred forty-seven".

Divisors: 1 3 9 11 27 33 81 99 243 297 891 2673 39589339 118768017 356304051 435482729 1068912153 1306448187 3206736459 3919344561 9620209377 11758033683 35274101049 105822303147