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2121322124340 = 22325196071021861
BaseRepresentation
bin11110110111101000101…
…001101101010000110100
321111210111120211100002200
4132313220221231100310
5234223431430434330
64302304423104500
7306155224355256
oct36675051552064
97453446740080
102121322124340
11748714044551
122a31625a2130
13125069631a23
147495b635cd6
153a2a9093a60
hex1ede8a6d434

2121322124340 has 144 divisors (see below), whose sum is σ = 6784509688320. Its totient is φ = 535029546240.

The previous prime is 2121322124309. The next prime is 2121322124351. The reversal of 2121322124340 is 434212231212.

2121322124340 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 221 + 2 + 434 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1565010 + ... + 2586870.

Almost surely, 22121322124340 is an apocalyptic number.

2121322124340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121322124340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392254844160).

2121322124340 is an abundant number, since it is smaller than the sum of its proper divisors (4663187563980).

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

2121322124340 is a wasteful number, since it uses less digits than its factorization.

2121322124340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022502 (or 1022497 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2121322124340 its reverse (434212231212), we get a palindrome (2555534355552).

The spelling of 2121322124340 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 607 684 855 1140 1214 1710 1821 2428 3035 3420 3642 5463 6070 7284 9105 10926 11533 12140 18210 21852 23066 27315 34599 36420 46132 54630 57665 69198 103797 109260 115330 138396 172995 207594 230660 345990 415188 518985 691980 1021861 1037970 2043722 2075940 3065583 4087444 5109305 6131166 9196749 10218610 12262332 15327915 18393498 19415359 20437220 30655830 36786996 38830718 45983745 58246077 61311660 77661436 91967490 97076795 116492154 174738231 183934980 194153590 232984308 291230385 349476462 388307180 582460770 620269627 698952924 873691155 1164921540 1240539254 1747382310 1860808881 2481078508 3101348135 3494764620 3721617762 5582426643 6202696270 7443235524 9304044405 11164853286 11785122913 12405392540 18608088810 22329706572 23570245826 27912133215 35355368739 37216177620 47140491652 55824266430 58925614565 70710737478 106066106217 111648532860 117851229130 141421474956 176776843695 212132212434 235702458260 353553687390 424264424868 530330531085 707107374780 1060661062170 2121322124340