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33020021332220 = 225132933971091807
BaseRepresentation
bin1111000001000000100101…
…01001000101100011111100
311022220200110001122002111012
413200200102221011203330
513312000000430112340
6154121104405214352
76645421624225256
oct740402251054374
9138820401562435
1033020021332220
11a580792236a8a
1238536024013b8
131556a0bba56a0
1482226b31ccd6
153c3dd709e565
hex1e0812a458fc

33020021332220 has 96 divisors (see below), whose sum is σ = 75119726965248. Its totient is φ = 12119780293632.

The previous prime is 33020021332171. The next prime is 33020021332247. The reversal of 33020021332220 is 2223312002033.

It is a super-2 number, since 2×330200213322202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29697557 + ... + 30789363.

It is an arithmetic number, because the mean of its divisors is an integer number (782497155888).

Almost surely, 233020021332220 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 33020021332220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37559863482624).

33020021332220 is an abundant number, since it is smaller than the sum of its proper divisors (42099705633028).

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

33020021332220 is a wasteful number, since it uses less digits than its factorization.

33020021332220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092519 (or 1092517 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 33020021332220 its reverse (2223312002033), we get a palindrome (35243333334253).

The spelling of 33020021332220 in words is "thirty-three trillion, twenty billion, twenty-one million, three hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 293 397 586 794 1172 1465 1588 1985 2930 3809 3970 5161 5860 7618 7940 10322 15236 19045 20644 25805 38090 51610 76180 103220 116321 232642 465284 581605 1091807 1163210 1512173 2183614 2326420 3024346 4367228 5459035 6048692 7560865 10918070 14193491 15121730 21836140 28386982 30243460 56773964 70967455 141934910 283869820 319899451 433447379 639798902 866894758 1279597804 1599497255 1733789516 2167236895 3198994510 4158692863 4334473790 5634815927 6397989020 8317385726 8668947580 11269631854 16634771452 20793464315 22539263708 28174079635 41586928630 56348159270 83173857260 112696318540 127000082047 254000164094 508000328188 635000410235 1270000820470 1651001066611 2540001640940 3302002133222 6604004266444 8255005333055 16510010666110 33020021332220