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33031003212012 = 22313259642742953
BaseRepresentation
bin1111000001010101000010…
…01101101000100011101100
311022221201210101222101110210
413200222201031220203230
513312134443310241022
6154130122225102420
76646261023531441
oct740524115504354
9138851711871423
1033031003212012
11a5854082188a3
123855768187a10
131557a6c127400
148229cda339c8
153c432b25ea0c
hex1e0aa13688ec

33031003212012 has 144 divisors (see below), whose sum is σ = 84886739441280. Its totient is φ = 9989337705984.

The previous prime is 33031003211971. The next prime is 33031003212013. The reversal of 33031003212012 is 21021230013033.

It is a super-2 number, since 2×330310032120122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33031003212012.

It is not an unprimeable number, because it can be changed into a prime (33031003212013) 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, 768981928 + ... + 769024880.

It is an arithmetic number, because the mean of its divisors is an integer number (589491246120).

Almost surely, 233031003212012 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 33031003212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42443369720640).

33031003212012 is an abundant number, since it is smaller than the sum of its proper divisors (51855736229268).

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

33031003212012 is a wasteful number, since it uses less digits than its factorization.

33031003212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49472 (or 49457 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 33031003212012 its reverse (21021230013033), we get a palindrome (54052233225045).

The spelling of 33031003212012 in words is "thirty-three trillion, thirty-one billion, three million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 59 78 118 156 169 177 236 338 354 507 676 708 767 1014 1534 2028 2301 3068 4602 6427 9204 9971 12854 19281 19942 25708 29913 38562 39884 42953 59826 77124 83551 85906 119652 128859 167102 171812 250653 257718 334204 379193 501306 515436 558389 758386 1002612 1086163 1116778 1137579 1516772 1675167 2172326 2233556 2275158 2534227 3258489 3350334 4344652 4550316 4929509 5068454 6516978 6700668 7259057 7602681 9859018 10136908 13033956 14518114 14788527 15205362 19718036 21777171 29036228 29577054 30410724 32944951 43554342 59154108 64083617 65889902 87108684 98834853 128167234 131779804 192250851 197669706 256334468 276058931 384501702 395339412 428284363 552117862 769003404 828176793 856568726 1104235724 1284853089 1656353586 1713137452 2569706178 3312707172 3588766103 5139412356 7177532206 10766298309 14355064412 16287476929 21532596618 32574953858 43065193236 46653959339 48862430787 65149907716 93307918678 97724861574 139961878017 186615837356 195449723148 211737200077 279923756034 423474400154 559847512068 635211600231 846948800308 1270423200462 2540846400924 2752583601001 5505167202002 8257750803003 11010334404004 16515501606006 33031003212012