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20122420310020 = 22572195771048837
BaseRepresentation
bin1001001001101000111011…
…01101101111000000000100
32122020200111001212121100001
410210310131231233000010
510114141204044410040
6110444040130131044
74144540222340500
oct444643555570004
978220431777301
1020122420310020
116458963746976
12230ba39a20a84
13b2c6c7a482c2
144d7d04bcd300
1524d66c57559a
hex124d1db6f004

20122420310020 has 72 divisors (see below), whose sum is σ = 49158755971416. Its totient is φ = 6898756548096.

The previous prime is 20122420310017. The next prime is 20122420310023. The reversal of 20122420310020 is 2001302422102.

It is an interprime number because it is at equal distance from previous prime (20122420310017) and next prime (20122420310023).

It can be written as a sum of positive squares in 4 ways, for example, as 7168856310784 + 12953563999236 = 2677472^2 + 3599106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20122420310020.

It is not an unprimeable number, because it can be changed into a prime (20122420310023) 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, 18661042 + ... + 19709878.

It is an arithmetic number, because the mean of its divisors is an integer number (682760499603).

Almost surely, 220122420310020 is an apocalyptic number.

20122420310020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122420310020 is an abundant number, since it is smaller than the sum of its proper divisors (29036335661396).

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

20122420310020 is a wasteful number, since it uses less digits than its factorization.

20122420310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068437 (or 1068428 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 20122420310020 its reverse (2001302422102), we get a palindrome (22123722732122).

The spelling of 20122420310020 in words is "twenty trillion, one hundred twenty-two billion, four hundred twenty million, three hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 19577 39154 78308 97885 137039 195770 274078 391540 548156 685195 959273 1048837 1370390 1918546 2097674 2740780 3837092 4195348 4796365 5244185 7341859 9592730 10488370 14683718 19185460 20976740 29367436 36709295 51393013 73418590 102786026 146837180 205572052 256965065 513930130 1027860260 20533081949 41066163898 82132327796 102665409745 143731573643 205330819490 287463147286 410661638980 574926294572 718657868215 1006121015501 1437315736430 2012242031002 2874631472860 4024484062004 5030605077505 10061210155010 20122420310020