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11221213332 = 2237376753887
BaseRepresentation
bin10100111001101011…
…00010000010010100
31001222000200200212210
422130311202002110
5140440112311312
65053245313420
7545033511450
oct123465420224
931860620783
1011221213332
11483909a72a
122211b65870
13109a9cb404
14786415660
1545a1d8e3c
hex29cd62094

11221213332 has 96 divisors (see below), whose sum is σ = 31191236608. Its totient is φ = 3072795264.

The previous prime is 11221213301. The next prime is 11221213391. The reversal of 11221213332 is 23331212211.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11221213299 and 11221213308.

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, 181293 + ... + 235179.

Almost surely, 211221213332 is an apocalyptic number.

11221213332 is a gapful number since it is divisible by the number (12) 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 11221213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15595618304).

11221213332 is an abundant number, since it is smaller than the sum of its proper divisors (19970023276).

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

11221213332 is a wasteful number, since it uses less digits than its factorization.

11221213332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54005 (or 54003 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 11221213332 its reverse (23331212211), we get a palindrome (34552425543).

The spelling of 11221213332 in words is "eleven billion, two hundred twenty-one million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 67 74 84 111 134 148 201 222 259 268 402 444 469 518 777 804 938 1036 1407 1554 1876 2479 2814 3108 4958 5628 7437 9916 14874 17353 29748 34706 52059 53887 69412 104118 107774 161661 208236 215548 323322 377209 646644 754418 1131627 1508836 1993819 2263254 3610429 3987638 4526508 5981457 7220858 7975276 10831287 11962914 13956733 14441716 21662574 23925828 25273003 27913466 41870199 43325148 50546006 55826932 75819009 83740398 101092012 133585873 151638018 167480796 267171746 303276036 400757619 534343492 801515238 935101111 1603030476 1870202222 2805303333 3740404444 5610606666 11221213332