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11211213321 = 3471119891063
BaseRepresentation
bin10100111000011110…
…11000101000001001
31001221022212122110000
422130033120220021
5140430032311241
65052251113213
7544552512060
oct123417305011
931838778400
1011211213321
11483348a560
12220a742809
131098909849
14784d711d7
154593b0eb6
hex29c3d8a09

11211213321 has 160 divisors (see below), whose sum is σ = 22246963200. Its totient is φ = 5450353920.

The previous prime is 11211213317. The next prime is 11211213341. The reversal of 11211213321 is 12331211211.

It is not a de Polignac number, because 11211213321 - 22 = 11211213317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11211213294 and 11211213303.

It is not an unprimeable number, because it can be changed into a prime (11211213341) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10546236 + ... + 10547298.

It is an arithmetic number, because the mean of its divisors is an integer number (139043520).

Almost surely, 211211213321 is an apocalyptic number.

11211213321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11211213321 is a deficient number, since it is larger than the sum of its proper divisors (11035749879).

11211213321 is a wasteful number, since it uses less digits than its factorization.

11211213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1192 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11211213321 its reverse (12331211211), we get a palindrome (23542424532).

The spelling of 11211213321 in words is "eleven billion, two hundred eleven million, two hundred thirteen thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 81 89 99 133 171 189 209 231 267 297 399 513 567 623 627 693 801 891 979 1063 1197 1463 1539 1691 1869 1881 2079 2403 2937 3189 3591 4389 5073 5607 5643 6237 6853 7209 7441 8811 9567 10773 11693 11837 13167 15219 16821 16929 18601 20197 20559 22323 26433 28701 35079 35511 39501 45657 50463 55803 60591 61677 66969 79299 81851 86103 94607 105237 106533 118503 130207 136971 141379 167409 181773 185031 200907 222167 245553 283821 315711 319599 390621 424137 502227 545319 555093 602721 662249 666501 736659 851463 947133 958797 1040677 1171863 1272411 1506681 1555169 1635957 1797533 1986747 1999503 2209977 2554389 3122031 3515589 3817233 4665507 5392599 5960241 5998509 6629931 7284739 7663167 9366093 10546767 11451699 12582731 13996521 16177797 17880723 17995527 19772863 21854217 28098279 37748193 41989563 48533391 53642169 59318589 65562651 84294837 113244579 125968689 138410041 145600173 177955767 196687953 339733737 415230123 533867301 590063859 1019201211 1245690369 1601601903 3737071107 11211213321