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2443111000020 = 2232525537531497
BaseRepresentation
bin100011100011010100110…
…000110110011111010100
322122120002121100221012100
4203203110300312133110
5310011442404000040
65110203311322100
7341336365600545
oct43432460663724
98576077327170
102443111000020
11862132516619
123355a8b20330
131494cc631a82
148636647c4cc
154383e57ab30
hex238d4c367d4

2443111000020 has 72 divisors (see below), whose sum is σ = 7411074174504. Its totient is φ = 651469529088.

The previous prime is 2443111000019. The next prime is 2443111000027. The reversal of 2443111000020 is 200001113442.

2443111000020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 736545001284 + 1706565998736 = 858222^2 + 1306356^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2443110999957 and 2443111000002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2443111000027) 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, 4330912 + ... + 4862408.

It is an arithmetic number, because the mean of its divisors is an integer number (102931585757).

Almost surely, 22443111000020 is an apocalyptic number.

2443111000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2443111000020 is an abundant number, since it is smaller than the sum of its proper divisors (4967963174484).

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

2443111000020 is a wasteful number, since it uses less digits than its factorization.

2443111000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557049 (or 557044 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2443111000020 its reverse (200001113442), we get a palindrome (2643112113462).

The spelling of 2443111000020 in words is "two trillion, four hundred forty-three billion, one hundred eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 25537 51074 76611 102148 127685 153222 229833 255370 306444 383055 459666 510740 531497 766110 919332 1062994 1149165 1532220 1594491 2125988 2298330 2657485 3188982 4596660 4783473 5314970 6377964 7972455 9566946 10629940 15944910 19133892 23917365 31889820 47834730 95669460 13572838889 27145677778 40718516667 54291355556 67864194445 81437033334 122155550001 135728388890 162874066668 203592583335 244311100002 271456777780 407185166670 488622200004 610777750005 814370333340 1221555500010 2443111000020