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33033213121220 = 225136716071180013
BaseRepresentation
bin1111000001011001001001…
…11011110001001011000100
311022221221111102022101222222
413200230210323301023010
513312204010024334340
6154131125411111512
76646366546461434
oct740544473611304
9138857442271888
1033033213121220
11a5863416a6344
1238560842a2598
131558031c181b0
14822b5d3302c4
153c440a2878b5
hex1e0b24ef12c4

33033213121220 has 96 divisors (see below), whose sum is σ = 75868141079808. Its totient is φ = 12007348987392.

The previous prime is 33033213121201. The next prime is 33033213121379. The reversal of 33033213121220 is 2212131233033.

It is a super-2 number, since 2×330332131212202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 33033213121220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27403934 + ... + 28583946.

It is an arithmetic number, because the mean of its divisors is an integer number (790293136248).

Almost surely, 233033213121220 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 33033213121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37934070539904).

33033213121220 is an abundant number, since it is smaller than the sum of its proper divisors (42834927958588).

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

33033213121220 is a wasteful number, since it uses less digits than its factorization.

33033213121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181709 (or 1181707 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 33033213121220 its reverse (2212131233033), we get a palindrome (35245344354253).

The spelling of 33033213121220 in words is "thirty-three trillion, thirty-three billion, two hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1607 1742 3214 3484 4355 6428 8035 8710 16070 17420 20891 32140 41782 83564 104455 107669 208910 215338 417820 430676 538345 1076690 1180013 1399697 2153380 2360026 2799394 4720052 5598788 5900065 6998485 11800130 13996970 15340169 23600260 27993940 30680338 61360676 76700845 79060871 153401690 158121742 306803380 316243484 395304355 790608710 1027791323 1581217420 1896280891 2055582646 3792561782 4111165292 5138956615 7585123564 9481404455 10277913230 18962808910 20555826460 24651651583 37925617820 49303303166 98606606332 123258257915 127050819697 246516515830 254101639394 493033031660 508203278788 635254098485 1270508196970 1651660656061 2541016393940 3303321312122 6606642624244 8258303280305 16516606560610 33033213121220