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201020021210120 = 23573529472943019
BaseRepresentation
bin101101101101001110011110…
…111101001111110000001000
3222100202022210220111100010012
4231231032132331033300020
5202322003000412210440
61551311153424011052
760225134343456530
oct5555163675176010
9870668726440105
10201020021210120
1159062126434792
121a66703a460a88
13882215044a4c8
14378d5c70b44c0
151838ed3360e65
hexb6d39ef4fc08

201020021210120 has 128 divisors (see below), whose sum is σ = 517176459360000. Its totient is φ = 68885448855552.

The previous prime is 201020021210083. The next prime is 201020021210171. The reversal of 201020021210120 is 21012120020102.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 201020021210095 and 201020021210104.

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, 4672797971 + ... + 4672840989.

It is an arithmetic number, because the mean of its divisors is an integer number (4040441088750).

Almost surely, 2201020021210120 is an apocalyptic number.

201020021210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201020021210120 is an abundant number, since it is smaller than the sum of its proper divisors (316156438149880).

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

201020021210120 is a wasteful number, since it uses less digits than its factorization.

201020021210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51295 (or 51291 counting only the distinct ones).

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

Adding to 201020021210120 its reverse (21012120020102), we get a palindrome (222032141230222).

The spelling of 201020021210120 in words is "two hundred one trillion, twenty billion, twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 3529 4729 7058 9458 14116 17645 18916 23645 24703 28232 33103 35290 37832 43019 47290 49406 66206 70580 86038 94580 98812 123515 132412 141160 165515 172076 189160 197624 215095 247030 264824 301133 331030 344152 430190 494060 602266 662060 860380 988120 1204532 1324120 1505665 1720760 2409064 3011330 6022660 12045320 16688641 33377282 66754564 83443205 116820487 133509128 151814051 166886410 203436851 233640974 303628102 333772820 406873702 467281948 584102435 607256204 667545640 759070255 813747404 934563896 1017184255 1062698357 1168204870 1214512408 1424057957 1518140510 1627494808 2034368510 2125396714 2336409740 2848115914 3036281020 4068737020 4250793428 4672819480 5313491785 5696231828 6072562040 7120289785 8137474040 8501586856 10626983570 11392463656 14240579570 21253967140 28481159140 42507934280 56962318280 717928647179 1435857294358 2871714588716 3589643235895 5025500530253 5743429177432 7179286471790 10051001060506 14358572943580 20102002121012 25127502651265 28717145887160 40204004242024 50255005302530 100510010605060 201020021210120