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2122013303112 = 23343103143913873
BaseRepresentation
bin11110111000010001110…
…110010110000101001000
321111212021202101212010110
4132320101312112011020
5234231340401144422
64302501153314320
7306211316316603
oct36702166260510
97455252355113
102122013303112
11748a3920937a
122a3315b659a0
131251498a2c51
14749c535533a
153a2e9ac260c
hex1ee11d96148

2122013303112 has 128 divisors (see below), whose sum is σ = 5485313433600. Its totient is φ = 683655662592.

The previous prime is 2122013303083. The next prime is 2122013303117. The reversal of 2122013303112 is 2113033102212.

It is not an unprimeable number, because it can be changed into a prime (2122013303117) by changing a digit.

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, 152953008 + ... + 152966880.

It is an arithmetic number, because the mean of its divisors is an integer number (42854011200).

Almost surely, 22122013303112 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 2122013303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742656716800).

2122013303112 is an abundant number, since it is smaller than the sum of its proper divisors (3363300130488).

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

2122013303112 is a wasteful number, since it uses less digits than its factorization.

2122013303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15467 (or 15463 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2122013303112 its reverse (2113033102212), we get a palindrome (4235046405324).

The spelling of 2122013303112 in words is "two trillion, one hundred twenty-two billion, thirteen million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 103 129 172 206 258 309 344 412 516 618 824 1032 1236 1439 2472 2878 4317 4429 5756 8634 8858 11512 13287 13873 17268 17716 26574 27746 34536 35432 41619 53148 55492 61877 83238 106296 110984 123754 148217 166476 185631 247508 296434 332952 371262 444651 495016 592868 596539 742524 889302 1185736 1193078 1428919 1485048 1778604 1789617 2386156 2857838 3557208 3579234 4286757 4772312 5715676 6373331 7158468 8573514 11431352 12746662 14316936 17147028 19119993 19963247 25493324 34294056 38239986 39926494 50986648 59889741 61443517 76479972 79852988 119779482 122887034 152959944 159705976 184330551 239558964 245774068 368661102 479117928 491548136 737322204 858419621 1474644408 1716839242 2056214441 2575258863 3433678484 4112428882 5150517726 6168643323 6867356968 8224857764 10301035452 12337286646 16449715528 20602070904 24674573292 49349146584 88417220963 176834441926 265251662889 353668883852 530503325778 707337767704 1061006651556 2122013303112