Search a number
-
+
11122021120 = 28571976301
BaseRepresentation
bin10100101101110110…
…01001001100000000
31001201010001012202011
422112323021030000
5140234214133440
65035343302304
7542420422360
oct122673111400
931633035664
1011122021120
1147981000a1
1221a48aa994
1310832ab4b2
147771949a0
154516439ea
hex296ec9300

11122021120 has 144 divisors (see below), whose sum is σ = 30605940288. Its totient is φ = 3793305600.

The previous prime is 11122021117. The next prime is 11122021181. The reversal of 11122021120 is 2112022111.

It is a self number, because there is not a number n which added to its sum of digits gives 11122021120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761970 + ... + 1768270.

It is an arithmetic number, because the mean of its divisors is an integer number (212541252).

Almost surely, 211122021120 is an apocalyptic number.

11122021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11122021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302970144).

11122021120 is an abundant number, since it is smaller than the sum of its proper divisors (19483919168).

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

11122021120 is an equidigital number, since it uses as much as digits as its factorization.

11122021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6526 (or 6512 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11122021120 its reverse (2112022111), we get a palindrome (13234043231).

Subtracting from 11122021120 its reverse (2112022111), we obtain a palindrome (9009999009).

The spelling of 11122021120 in words is "eleven billion, one hundred twenty-two million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 197 224 256 280 320 394 448 560 640 788 896 985 1120 1280 1379 1576 1792 1970 2240 2758 3152 3940 4480 5516 6301 6304 6895 7880 8960 11032 12602 12608 13790 15760 22064 25204 25216 27580 31505 31520 44107 44128 50408 50432 55160 63010 63040 88214 88256 100816 110320 126020 126080 176428 176512 201632 220535 220640 252040 252160 352856 353024 403264 441070 441280 504080 705712 806528 882140 882560 1008160 1241297 1411424 1613056 1764280 1765120 2016320 2482594 2822848 3528560 4032640 4965188 5645696 6206485 7057120 8065280 8689079 9930376 11291392 12412970 14114240 17378158 19860752 24825940 28228480 34756316 39721504 43445395 49651880 56456960 69512632 79443008 86890790 99303760 139025264 158886016 173781580 198607520 278050528 317772032 347563160 397215040 556101056 695126320 794430080 1112202112 1390252640 1588860160 2224404224 2780505280 5561010560 11122021120