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20112201012020 = 22513231718770837
BaseRepresentation
bin1001001001010101111001…
…00110001101001100110100
32122012201002212110110220112
410210222330212031030310
510114004241424341040
6110435230111122152
74144026042624665
oct444527446151464
978181085413815
1020112201012020
11645459a169047
122309a67513358
13b2b7597a7b00
144d76158a336c
1524d2702ea365
hex124abc98d334

20112201012020 has 72 divisors (see below), whose sum is σ = 45878706156024. Its totient is φ = 7402617051648.

The previous prime is 20112201011921. The next prime is 20112201012061. The reversal of 20112201012020 is 2021010221102.

It can be written as a sum of positive squares in 12 ways, for example, as 18781025029264 + 1331175982756 = 4333708^2 + 1153766^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20112201011986 and 20112201012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8313959 + ... + 10456878.

It is an arithmetic number, because the mean of its divisors is an integer number (637204252167).

Almost surely, 220112201012020 is an apocalyptic number.

20112201012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112201012020 is an abundant number, since it is smaller than the sum of its proper divisors (25766505144004).

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

20112201012020 is a wasteful number, since it uses less digits than its factorization.

20112201012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771189 (or 18771174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20112201012020 its reverse (2021010221102), we get a palindrome (22133211233122).

The spelling of 20112201012020 in words is "twenty trillion, one hundred twelve billion, two hundred one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 317 338 634 676 845 1268 1585 1690 3170 3380 4121 6340 8242 16484 20605 41210 53573 82420 107146 214292 267865 535730 1071460 18770837 37541674 75083348 93854185 187708370 244020881 375416740 488041762 976083524 1220104405 2440208810 3172271453 4880417620 5950355329 6344542906 11900710658 12689085812 15861357265 23801421316 29751776645 31722714530 59503553290 63445429060 77354619277 119007106580 154709238554 309418477108 386773096385 773546192770 1005610050601 1547092385540 2011220101202 4022440202404 5028050253005 10056100506010 20112201012020