Search a number
-
+
11220221012 = 227111319147487
BaseRepresentation
bin10100111001100011…
…01111110001010100
31001221221211021200012
422130301233301110
5140434334033022
65053212135352
7545022206420
oct123461576124
931857737605
1011220221012
114838582130
122211767558
13109a741840
14786237b80
1545a08ede2
hex29cc6fc54

11220221012 has 96 divisors (see below), whose sum is σ = 27751342080. Its totient is φ = 3822837120.

The previous prime is 11220220981. The next prime is 11220221059. The reversal of 11220221012 is 21012202211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2333 + ... + 149819.

It is an arithmetic number, because the mean of its divisors is an integer number (289076480).

Almost surely, 211220221012 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 11220221012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875671040).

11220221012 is an abundant number, since it is smaller than the sum of its proper divisors (16531121068).

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

11220221012 is a wasteful number, since it uses less digits than its factorization.

11220221012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147541 (or 147539 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11220221012 its reverse (21012202211), we get a palindrome (32232423223).

It can be divided in two parts, 11220 and 221012, that added together give a palindrome (232232).

The spelling of 11220221012 in words is "eleven billion, two hundred twenty million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 4 7 11 13 14 19 22 26 28 38 44 52 76 77 91 133 143 154 182 209 247 266 286 308 364 418 494 532 572 836 988 1001 1463 1729 2002 2717 2926 3458 4004 5434 5852 6916 10868 19019 38038 76076 147487 294974 589948 1032409 1622357 1917331 2064818 2802253 3244714 3834662 4129636 5604506 6489428 7669324 11209012 11356499 13421317 19615771 21090641 22712998 26842634 30824783 36429289 39231542 42181282 45425996 53685268 61649566 72858578 78463084 84362564 123299132 145717156 147634487 215773481 255005023 295268974 400722179 431546962 510010046 590537948 801444358 863093924 1020020092 1602888716 2805055253 5610110506 11220221012