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313044333400020 = 223537300146987991
BaseRepresentation
bin100011100101101100101000…
…0010010101000111111010100
31112001101202010211120011221010
41013023121100102220333110
5312012404243322300040
63025442325331252220
7122636464260104535
oct10713312022507724
91461352124504833
10313044333400020
11908223a1178892
122b13a109a4a070
1310589c52b576c1
1457435d876868c
15262d00515ce80
hex11cb6504a8fd4

313044333400020 has 96 divisors (see below), whose sum is σ = 900513965465856. Its totient is φ = 81195246720000.

The previous prime is 313044333400009. The next prime is 313044333400021. The reversal of 313044333400020 is 20004333440313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313044333400021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16831776 + ... + 30156215.

It is an arithmetic number, because the mean of its divisors is an integer number (9380353806936).

Almost surely, 2313044333400020 is an apocalyptic number.

313044333400020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313044333400020 is an abundant number, since it is smaller than the sum of its proper divisors (587469632065836).

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

313044333400020 is a wasteful number, since it uses less digits than its factorization.

313044333400020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46991041 (or 46991039 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 313044333400020 its reverse (20004333440313), we get a palindrome (333048666840333).

The spelling of 313044333400020 in words is "three hundred thirteen trillion, forty-four billion, three hundred thirty-three million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 3001 6002 9003 12004 15005 18006 30010 36012 45015 60020 90030 111037 180060 222074 333111 444148 555185 666222 1110370 1332444 1665555 2220740 3331110 6662220 46987991 93975982 140963973 187951964 234939955 281927946 469879910 563855892 704819865 939759820 1409639730 1738555667 2819279460 3477111334 5215667001 6954222668 8692778335 10431334002 17385556670 20862668004 26078335005 34771113340 52156670010 104313340020 141010960991 282021921982 423032882973 564043843964 705054804955 846065765946 1410109609910 1692131531892 2115164414865 2820219219820 4230328829730 5217405556667 8460657659460 10434811113334 15652216670001 20869622226668 26087027783335 31304433340002 52174055566670 62608866680004 78261083350005 104348111133340 156522166700010 313044333400020