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203420202024420 = 22355291443310643
BaseRepresentation
bin101110010000001001110100…
…111000011011110111100100
3222200020210002122010212200000
4232100021310320123313210
5203130314033204240140
62000345541204421300
760563424144665163
oct5620116470336744
9880223078125600
10203420202024420
11598a8028986377
121a9942460a7830
13896759a91a604
143833839b533da
15187b65da51a30
hexb90274e1bde4

203420202024420 has 144 divisors (see below), whose sum is σ = 661959993764160. Its totient is φ = 52374856576896.

The previous prime is 203420202024383. The next prime is 203420202024421. The reversal of 203420202024420 is 24420202024302.

203420202024420 is a `hidden beast` number, since 2 + 0 + 34 + 2 + 0 + 2 + 0 + 202 + 4 + 420 = 666.

203420202024420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (203420202024421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721514382 + ... + 721796261.

It is an arithmetic number, because the mean of its divisors is an integer number (4596944401140).

Almost surely, 2203420202024420 is an apocalyptic number.

203420202024420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203420202024420 is an abundant number, since it is smaller than the sum of its proper divisors (458539791739740).

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

203420202024420 is a wasteful number, since it uses less digits than its factorization.

203420202024420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443310696 (or 1443310682 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 203420202024420 its reverse (24420202024302), we get a palindrome (227840404048722).

The spelling of 203420202024420 in words is "two hundred three trillion, four hundred twenty billion, two hundred two million, twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 243 261 270 290 324 348 405 435 486 522 540 580 783 810 870 972 1044 1215 1305 1566 1620 1740 2349 2430 2610 3132 3915 4698 4860 5220 7047 7830 9396 11745 14094 15660 23490 28188 35235 46980 70470 140940 1443310643 2886621286 4329931929 5773242572 7216553215 8659863858 12989795787 14433106430 17319727716 21649659645 25979591574 28866212860 38969387361 41856008647 43299319290 51959183148 64948978935 77938774722 83712017294 86598638580 116908162083 125568025941 129897957870 155877549444 167424034588 194846936805 209280043235 233816324166 251136051882 259795915740 350724486249 376704077823 389693873610 418560086470 467632648332 502272103764 584540810415 627840129705 701448972498 753408155646 779387747220 837120172940 1130112233469 1169081620830 1255680259410 1402897944996 1506816311292 1753622431245 1883520389115 2260224466938 2338163241660 2511360518820 3390336700407 3507244862490 3767040778230 4520448933876 5650561167345 6780673400814 7014489724980 7534081556460 10171010101221 11301122334690 13561346801628 16951683502035 20342020202442 22602244669380 33903367004070 40684040404884 50855050506105 67806734008140 101710101012210 203420202024420