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11121021210 = 23513291576263
BaseRepresentation
bin10100101101101110…
…10101000100011010
31001201001011102010110
422112313111010122
5140233440134320
65035310025150
7542406056235
oct122667250432
931631142113
1011121021210
114797587922
1221a44a81b6
13108301b330
14776db441c
154514e75e0
hex296dd511a

11121021210 has 128 divisors (see below), whose sum is σ = 29928890880. Its totient is φ = 2625831936.

The previous prime is 11121021199. The next prime is 11121021227. The reversal of 11121021210 is 1212012111.

11121021210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111210212102 (a number of 21 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 63 ways as a sum of consecutive naturals, for example, 1772539 + ... + 1778801.

It is an arithmetic number, because the mean of its divisors is an integer number (233819460).

Almost surely, 211121021210 is an apocalyptic number.

11121021210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14964445440).

11121021210 is an abundant number, since it is smaller than the sum of its proper divisors (18807869670).

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

11121021210 is a wasteful number, since it uses less digits than its factorization.

11121021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6472.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11121021210 its reverse (1212012111), we get a palindrome (12333033321).

Subtracting from 11121021210 its reverse (1212012111), we obtain a palindrome (9909009099).

The spelling of 11121021210 in words is "eleven billion, one hundred twenty-one million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 157 174 195 290 314 377 390 435 471 754 785 870 942 1131 1570 1885 2041 2262 2355 3770 4082 4553 4710 5655 6123 6263 9106 10205 11310 12246 12526 13659 18789 20410 22765 27318 30615 31315 37578 45530 59189 61230 62630 68295 81419 93945 118378 136590 162838 177567 181627 187890 244257 295945 355134 363254 407095 488514 544881 591890 814190 887835 908135 983291 1089762 1221285 1775670 1816270 1966582 2361151 2442570 2724405 2949873 4722302 4916455 5448810 5899746 7083453 9832910 11805755 12782783 14166906 14749365 23611510 25565566 28515439 29498730 35417265 38348349 57030878 63913915 70834530 76696698 85546317 127827830 142577195 171092634 191741745 285154390 370700707 383483490 427731585 741401414 855463170 1112102121 1853503535 2224204242 3707007070 5560510605 11121021210