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201202120202020 = 225710174297191519
BaseRepresentation
bin101101101111111000000100…
…111001110001011100100100
3222101101201211200212120221121
4231233320010321301130210
5202332443420232431040
61551530551125223324
760244242050404540
oct5557700471613444
9871351750776847
10201202120202020
1159122381586613
121a69639ab61b44
138836380bb8aa2
14379833d976a20
15183dadee82c4a
hexb6fe04e71724

201202120202020 has 96 divisors (see below), whose sum is σ = 487675239045120. Its totient is φ = 68299302374400.

The previous prime is 201202120201961. The next prime is 201202120202047. The reversal of 201202120202020 is 20202021202102.

It is a super-2 number, since 2×2012021202020202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201202120201985 and 201202120202003.

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, 1050463821 + ... + 1050655339.

It is an arithmetic number, because the mean of its divisors is an integer number (5079950406720).

Almost surely, 2201202120202020 is an apocalyptic number.

201202120202020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201202120202020 is an abundant number, since it is smaller than the sum of its proper divisors (286473118843100).

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

201202120202020 is a wasteful number, since it uses less digits than its factorization.

201202120202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265933 (or 265931 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 201202120202020 its reverse (20202021202102), we get a palindrome (221404141404122).

The spelling of 201202120202020 in words is "two hundred one trillion, two hundred two billion, one hundred twenty million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 101 140 202 404 505 707 1010 1414 2020 2828 3535 7070 14140 74297 148594 191519 297188 371485 383038 520079 742970 766076 957595 1040158 1340633 1485940 1915190 2080316 2600395 2681266 3830380 5200790 5362532 6703165 7503997 10401580 13406330 15007994 19343419 26812660 30015988 37519985 38686838 52527979 75039970 77373676 96717095 105055958 135403933 150079940 193434190 210111916 262639895 270807866 386868380 525279790 541615732 677019665 1050559580 1354039330 2708078660 14229287143 28458574286 56917148572 71146435715 99605010001 142292871430 199210020002 284585742860 398420040004 498025050005 996050100010 1437158001443 1992100200020 2874316002886 5748632005772 7185790007215 10060106010101 14371580014430 20120212020202 28743160028860 40240424040404 50300530050505 100601060101010 201202120202020