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33210401340340 = 225721710718630107
BaseRepresentation
bin1111000110100011001100…
…01011001011101110110100
311100120212211222012120000001
413203101212023023232310
513323104400220342330
6154344351525401044
76665241463465600
oct743214613135664
9140525758176001
1033210401340340
11a6444a7843974
123884494269184
13156b95c169173
1482b56b91a500
153c8d2abca9ca
hex1e34662cbbb4

33210401340340 has 144 divisors (see below), whose sum is σ = 86703330305088. Its totient is φ = 10616477684736.

The previous prime is 33210401340293. The next prime is 33210401340343. The reversal of 33210401340340 is 4304310401233.

It is a super-2 number, since 2×332104013403402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 33210401340299 and 33210401340308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33210401340343) 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, 7532434 + ... + 11097673.

It is an arithmetic number, because the mean of its divisors is an integer number (602106460452).

Almost surely, 233210401340340 is an apocalyptic number.

It is an amenable number.

33210401340340 is an abundant number, since it is smaller than the sum of its proper divisors (53492928964748).

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

33210401340340 is a wasteful number, since it uses less digits than its factorization.

33210401340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18630254 (or 18630245 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 33210401340340 its reverse (4304310401233), we get a palindrome (37514711741573).

The spelling of 33210401340340 in words is "thirty-three trillion, two hundred ten billion, four hundred one million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 107 119 140 170 196 214 238 245 340 428 476 490 535 595 749 833 980 1070 1190 1498 1666 1819 2140 2380 2996 3332 3638 3745 4165 5243 7276 7490 8330 9095 10486 12733 14980 16660 18190 20972 25466 26215 36380 50932 52430 63665 89131 104860 127330 178262 254660 356524 445655 891310 1782620 18630107 37260214 74520428 93150535 130410749 186301070 260821498 316711819 372602140 521642996 633423638 652053745 912875243 1266847276 1304107490 1583559095 1825750486 1993421449 2216982733 2608214980 3167118190 3651500972 3986842898 4433965466 4564376215 6334236380 7973685796 8867930932 9128752430 9967107245 11084913665 13953950143 15518879131 18257504860 19934214490 22169827330 27907900286 31037758262 33888164633 39868428980 44339654660 55815800572 62075516524 67776329266 69769750715 77594395655 97677651001 135552658532 139539501430 155188791310 169440823165 195355302002 237217152431 279079002860 310377582620 338881646330 390710604004 474434304862 488388255005 677763292660 948868609724 976776510010 1186085762155 1660520067017 1953553020020 2372171524310 3321040134034 4744343048620 6642080268068 8302600335085 16605200670170 33210401340340