Search a number
-
+
312140341100 = 225274310370111
BaseRepresentation
bin1001000101011010000…
…00111001111101101100
31002211200121010020220002
410202231000321331230
520103230411403400
6355221214443432
731360062056660
oct4425500717554
91084617106802
10312140341100
111104180a3255
12505b3203578
132358608cab3
14111716528a0
1581bd401ed5
hex48ad039f6c

312140341100 has 72 divisors (see below), whose sum is σ = 792110635008. Its totient is φ = 104530708800.

The previous prime is 312140341067. The next prime is 312140341111. The reversal of 312140341100 is 1143041213.

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

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 23 ways as a sum of consecutive naturals, for example, 5154956 + ... + 5215155.

Almost surely, 2312140341100 is an apocalyptic number.

It is an amenable number.

312140341100 is an abundant number, since it is smaller than the sum of its proper divisors (479970293908).

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

312140341100 is a wasteful number, since it uses less digits than its factorization.

312140341100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370175 (or 10370168 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 312140341100 its reverse (1143041213), we get a palindrome (313283382313).

The spelling of 312140341100 in words is "three hundred twelve billion, one hundred forty million, three hundred forty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 43 50 70 86 100 140 172 175 215 301 350 430 602 700 860 1075 1204 1505 2150 3010 4300 6020 7525 15050 30100 10370111 20740222 41480444 51850555 72590777 103701110 145181554 207402220 259252775 290363108 362953885 445914773 518505550 725907770 891829546 1037011100 1451815540 1783659092 1814769425 2229573865 3121403411 3629538850 4459147730 6242806822 7259077700 8918295460 11147869325 12485613644 15607017055 22295738650 31214034110 44591477300 62428068220 78035085275 156070170550 312140341100