Search a number
-
+
320113424100 = 223526715926041
BaseRepresentation
bin1001010100010000011…
…11110011011011100100
31010121021020212211121110
410222020033303123210
520221043014032400
6403020313345020
732061465131631
oct4521017633344
91117236784543
10320113424100
11113839756548
1252059408170
1324256b6a2a2
14116ca511188
1584d8381e50
hex4a883f36e4

320113424100 has 72 divisors (see below), whose sum is σ = 940018703008. Its totient is φ = 84089491200.

The previous prime is 320113424053. The next prime is 320113424177. The reversal of 320113424100 is 1424311023.

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, 7942921 + ... + 7983120.

Almost surely, 2320113424100 is an apocalyptic number.

320113424100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

320113424100 is an abundant number, since it is smaller than the sum of its proper divisors (619905278908).

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

320113424100 is a wasteful number, since it uses less digits than its factorization.

320113424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926125 (or 15926118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 320113424100 its reverse (1424311023), we get a palindrome (321537735123).

The spelling of 320113424100 in words is "three hundred twenty billion, one hundred thirteen million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 201 268 300 335 402 670 804 1005 1340 1675 2010 3350 4020 5025 6700 10050 20100 15926041 31852082 47778123 63704164 79630205 95556246 159260410 191112492 238890615 318520820 398151025 477781230 796302050 955562460 1067044747 1194453075 1592604100 2134089494 2388906150 3201134241 4268178988 4777812300 5335223735 6402268482 10670447470 12804536964 16005671205 21340894940 26676118675 32011342410 53352237350 64022684820 80028356025 106704474700 160056712050 320113424100