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2421034442020 = 2258917313815693
BaseRepresentation
bin100011001110110000111…
…001011101110100100100
322120110010001102120220001
4203032300321131310210
5304131234304121040
65052112522151044
7336625330132645
oct43166071356444
98513101376801
102421034442020
1185383390a867
12331267652484
131473c19862bc
148527048d6cc
1542e9b37859a
hex233b0e5dd24

2421034442020 has 96 divisors (see below), whose sum is σ = 5175669713760. Its totient is φ = 951141396480.

The previous prime is 2421034442009. The next prime is 2421034442027. The reversal of 2421034442020 is 202444301242.

2421034442020 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 16 ways, for example, as 831054670884 + 1589979771136 = 911622^2 + 1260944^2 .

It is a super-2 number, since 2×24210344420202 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2421034442020.

It is not an unprimeable number, because it can be changed into a prime (2421034442027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425262294 + ... + 425267986.

It is an arithmetic number, because the mean of its divisors is an integer number (53913226185).

Almost surely, 22421034442020 is an apocalyptic number.

2421034442020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2421034442020 is an abundant number, since it is smaller than the sum of its proper divisors (2754635271740).

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

2421034442020 is a wasteful number, since it uses less digits than its factorization.

2421034442020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7345 (or 7343 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 2421034442020 its reverse (202444301242), we get a palindrome (2623478743262).

The spelling of 2421034442020 in words is "two trillion, four hundred twenty-one billion, thirty-four million, four hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 89 173 178 346 356 445 692 865 890 1381 1730 1780 2762 3460 5524 5693 6905 11386 13810 15397 22772 27620 28465 30794 56930 61588 76985 113860 122909 153970 238913 245818 307940 477826 491636 506677 614545 955652 984889 1013354 1194565 1229090 1969778 2026708 2389130 2458180 2533385 3939556 4778260 4924445 5066770 7862033 9848890 10133540 15724066 19697780 21263257 31448132 39310165 42526514 78620330 85053028 87655121 106316285 157240660 175310242 212632570 350620484 425265140 438275605 699720937 876551210 1360131709 1399441874 1753102420 2720263418 2798883748 3498604685 5440526836 6800658545 6997209370 13601317090 13994418740 27202634180 121051722101 242103444202 484206888404 605258610505 1210517221010 2421034442020