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22132323213 = 371113431011697
BaseRepresentation
bin10100100111001100…
…000111001110001101
32010010102212111210120
4110213030013032031
5330311333320323
614100100255153
71412313433440
oct244714071615
963112774716
1022132323213
119428135010
1243580a14b9
1321193a2050
1410dd587657
1589806a5e3
hex52730738d

22132323213 has 128 divisors (see below), whose sum is σ = 40968474624. Its totient is φ = 10257408000.

The previous prime is 22132323193. The next prime is 22132323253. The reversal of 22132323213 is 31232323122.

It is not a de Polignac number, because 22132323213 - 213 = 22132315021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132323253) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13041181 + ... + 13042877.

It is an arithmetic number, because the mean of its divisors is an integer number (320066208).

Almost surely, 222132323213 is an apocalyptic number.

It is an amenable number.

22132323213 is a deficient number, since it is larger than the sum of its proper divisors (18836151411).

22132323213 is a wasteful number, since it uses less digits than its factorization.

22132323213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1875.

The product of its digits is 2592, while the sum is 24.

Adding to 22132323213 its reverse (31232323122), we get a palindrome (53364646335).

Subtracting 22132323213 from its reverse (31232323122), we obtain a palindrome (9099999909).

The spelling of 22132323213 in words is "twenty-two billion, one hundred thirty-two million, three hundred twenty-three thousand, two hundred thirteen".

Divisors: 1 3 7 11 13 21 33 39 43 77 91 101 129 143 231 273 301 303 429 473 559 707 903 1001 1111 1313 1419 1677 1697 2121 3003 3311 3333 3913 3939 4343 5091 6149 7777 9191 9933 11739 11879 13029 14443 18447 18667 22061 23331 27573 30401 35637 43043 43329 47773 56001 56459 66183 72971 91203 101101 129129 130669 143319 154427 169377 171397 218913 242671 303303 334411 392007 395213 463281 510797 514191 621049 728013 802681 948623 1003233 1185639 1199779 1532391 1698697 1863147 1885367 2228161 2408043 2845869 3599337 4347343 5096091 5618767 5656101 6640361 6684483 7370071 10434853 13042029 13197569 15597127 16856301 19921083 22110213 24509771 31304559 39592707 46791381 51590497 73043971 73529313 81070781 95810923 154771491 171568397 219131913 243212343 287432769 514705191 567495467 670676461 1053920153 1702486401 2012029383 3161760459 7377441071 22132323213