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201220012112020 = 2251110722283383611
BaseRepresentation
bin101101110000001000101111…
…010101111111100010010100
3222101110110000121122210100221
4231300020233111333202110
5202333242041100041040
61551543110351044124
760245444324211466
oct5560105725774224
9871413017583327
10201220012112020
1159129a230513a0
121a699952b10644
138837c72902495
143799159ca8136
15183e2daad974a
hexb7022f57f894

201220012112020 has 96 divisors (see below), whose sum is σ = 465307042669056. Its totient is φ = 72483631209600.

The previous prime is 201220012111981. The next prime is 201220012112069. The reversal of 201220012112020 is 20211210022102.

It is a happy number.

It is a super-2 number, since 2×2012200121120202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201220012111985 and 201220012112003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524350015 + ... + 524733625.

It is an arithmetic number, because the mean of its divisors is an integer number (4846948361136).

Almost surely, 2201220012112020 is an apocalyptic number.

201220012112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232653521334528).

201220012112020 is an abundant number, since it is smaller than the sum of its proper divisors (264087030557036).

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

201220012112020 is a wasteful number, since it uses less digits than its factorization.

201220012112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406021 (or 406019 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201220012112020 its reverse (20211210022102), we get a palindrome (221431222134122).

The spelling of 201220012112020 in words is "two hundred one trillion, two hundred twenty billion, twelve million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5885 11770 22283 23540 44566 89132 111415 222830 245113 383611 445660 490226 767222 980452 1225565 1534444 1918055 2384281 2451130 3836110 4219721 4768562 4902260 7672220 8439442 9537124 11921405 16878884 21098605 23842810 26227091 41046377 42197210 47685620 52454182 82092754 84394420 104908364 131135455 164185508 205231885 262270910 410463770 451510147 524541820 820927540 903020294 1806040588 2257550735 4515101470 8548003913 9030202940 17096007826 34192015652 42740019565 85480039130 94028043043 170960078260 188056086086 376112172172 470140215215 914636418691 940280430430 1829272837382 1880560860860 3658545674764 4573182093455 9146364186910 10061000605601 18292728373820 20122001211202 40244002422404 50305003028005 100610006056010 201220012112020