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2122011443344 = 2413103307322633
BaseRepresentation
bin11110111000010001101…
…111010000000010010000
321111212021121220101000011
4132320101233100002100
5234231334412141334
64302501045404304
7306211264442542
oct36702157200220
97455247811004
102122011443344
11748a38159081
122a3315409694
131251493a15b0
14749c4dcd692
153a2e9856564
hex1ee11bd0090

2122011443344 has 80 divisors (see below), whose sum is σ = 4485221732992. Its totient is φ = 966719038464.

The previous prime is 2122011443317. The next prime is 2122011443353. The reversal of 2122011443344 is 4433441102212.

It is a happy number.

It is a super-2 number, since 2×21220114433442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415852 + ... + 6738484.

Almost surely, 22122011443344 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 2122011443344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242610866496).

2122011443344 is an abundant number, since it is smaller than the sum of its proper divisors (2363210289648).

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

2122011443344 is a wasteful number, since it uses less digits than its factorization.

2122011443344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323064 (or 323058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 2122011443344 its reverse (4433441102212), we get a palindrome (6555452545556).

The spelling of 2122011443344 in words is "two trillion, one hundred twenty-two billion, eleven million, four hundred forty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 103 104 206 208 307 412 614 824 1228 1339 1648 2456 2678 3991 4912 5356 7982 10712 15964 21424 31621 31928 63242 63856 126484 252968 322633 411073 505936 645266 822146 1290532 1644292 2581064 3288584 4194229 5162128 6577168 8388458 16776916 33231199 33553832 66462398 67107664 99048331 132924796 198096662 265849592 396193324 432005587 531699184 792386648 864011174 1287628303 1584773296 1728022348 2575256606 3456044696 5150513212 6912089392 10201978093 10301026424 20403956186 20602052848 40807912372 81615824744 132625715209 163231649488 265251430418 530502860836 1061005721672 2122011443344