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211420020420 = 2232571631029409
BaseRepresentation
bin1100010011100110011…
…1010111111011000100
3202012201020001211102200
43010321213113323010
511430442011123140
6241043000434500
721163120344120
oct3047147277304
9665636054380
10211420020420
11817320a9604
1234b84178a30
1316c242778cb
14a338a88580
155775d2e030
hex31399d7ec4

211420020420 has 144 divisors (see below), whose sum is σ = 737419912320. Its totient is φ = 48028059648.

The previous prime is 211420020419. The next prime is 211420020451. The reversal of 211420020420 is 24020024112.

211420020420 is a `hidden beast` number, since 21 + 1 + 4 + 200 + 20 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211420020393 and 211420020402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309325 + ... + 720084.

Almost surely, 2211420020420 is an apocalyptic number.

211420020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211420020420 is an abundant number, since it is smaller than the sum of its proper divisors (525999891900).

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

211420020420 is a wasteful number, since it uses less digits than its factorization.

211420020420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029594 (or 1029589 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 211420020420 its reverse (24020024112), we get a palindrome (235440044532).

The spelling of 211420020420 in words is "two hundred eleven billion, four hundred twenty million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 163 180 210 252 315 326 420 489 630 652 815 978 1141 1260 1467 1630 1956 2282 2445 2934 3260 3423 4564 4890 5705 5868 6846 7335 9780 10269 11410 13692 14670 17115 20538 22820 29340 34230 41076 51345 68460 102690 205380 1029409 2058818 3088227 4117636 5147045 6176454 7205863 9264681 10294090 12352908 14411726 15441135 18529362 20588180 21617589 28823452 30882270 36029315 37058724 43235178 46323405 61764540 64852767 72058630 86470356 92646810 108087945 129705534 144117260 167793667 185293620 216175890 259411068 324263835 335587334 432351780 503381001 648527670 671174668 838968335 1006762002 1174555669 1297055340 1510143003 1677936670 2013524004 2349111338 2516905005 3020286006 3355873340 3523667007 4698222676 5033810010 5872778345 6040572012 7047334014 7550715015 10067620020 10571001021 11745556690 14094668028 15101430030 17618335035 21142002042 23491113380 30202860060 35236670070 42284004084 52855005105 70473340140 105710010210 211420020420