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201021211303332 = 223724170791177901
BaseRepresentation
bin101101101101001111100101…
…111001000101110110100100
3222100202102212211212100002120
4231231033211321011312210
5202322012420043201312
61551311511455505540
760225206004214200
oct5555174571056644
9870672784770076
10201021211303332
11590626871943a2
121a667310b282b0
1388222acb83684
14378d69b185b00
151839052a9128c
hexb6d3e5e45da4

201021211303332 has 144 divisors (see below), whose sum is σ = 559016458197120. Its totient is φ = 56025824064000.

The previous prime is 201021211303331. The next prime is 201021211303361. The reversal of 201021211303332 is 233303112120102.

It is a super-3 number, since 3×2010212113033323 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (201021211303331) 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, 170071582 + ... + 171249482.

It is an arithmetic number, because the mean of its divisors is an integer number (3882058737480).

Almost surely, 2201021211303332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021211303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279508229098560).

201021211303332 is an abundant number, since it is smaller than the sum of its proper divisors (357995246893788).

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

201021211303332 is a wasteful number, since it uses less digits than its factorization.

201021211303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185042 (or 1185033 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 201021211303332 its reverse (233303112120102), we get a palindrome (434324323423434).

The spelling of 201021211303332 in words is "two hundred one trillion, twenty-one billion, two hundred eleven million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 6027 7079 8036 12054 14158 21237 24108 28316 42474 49553 84948 99106 148659 198212 290239 297318 346871 580478 594636 693742 870717 1040613 1160956 1177901 1387484 1741434 2031673 2081226 2355802 3482868 3533703 4063346 4162452 4711604 6095019 7067406 8126692 8245307 12190038 14134812 14221711 16490614 24380076 24735921 28443422 32981228 42665133 48293941 49471842 56886844 57717149 85330266 96587882 98943684 115434298 144881823 170660532 173151447 193175764 230868596 289763646 338057587 346302894 579527292 676115174 692605788 1014172761 1352230348 2028345522 2366403109 4056691044 4732806218 7099209327 8338361179 9465612436 14198418654 16676722358 25015083537 28396837308 33353444716 50030167074 58368528253 100060334148 116737056506 175105584759 233474113012 341872808339 350211169518 408579697771 683745616678 700422339036 817159395542 1025618425017 1225739093313 1367491233356 1634318791084 2051236850034 2393109658373 2451478186626 4102473700068 4786219316746 4902956373252 7179328975119 9572438633492 14358657950238 16751767608611 28717315900476 33503535217222 50255302825833 67007070434444 100510605651666 201021211303332