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11221305320 = 2352397125743
BaseRepresentation
bin10100111001101011…
…11000011111101000
31001222000212101001202
422130311320133220
5140440123232240
65053251303332
7545034343601
oct123465703750
931860771052
1011221305320
114839152855
122211baab48
13109aa31244
1478643ada8
1545a206315
hex29cd787e8

11221305320 has 64 divisors (see below), whose sum is σ = 26617489920. Its totient is φ = 4249073664.

The previous prime is 11221305317. The next prime is 11221305349. The reversal of 11221305320 is 2350312211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11221305292 and 11221305301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26369 + ... + 152111.

It is an arithmetic number, because the mean of its divisors is an integer number (415898280).

Almost surely, 211221305320 is an apocalyptic number.

11221305320 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 11221305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308744960).

11221305320 is an abundant number, since it is smaller than the sum of its proper divisors (15396184600).

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

11221305320 is a wasteful number, since it uses less digits than its factorization.

11221305320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125874 (or 125870 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 11221305320 its reverse (2350312211), we get a palindrome (13571617531).

The spelling of 11221305320 in words is "eleven billion, two hundred twenty-one million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 97 115 184 194 230 388 460 485 776 920 970 1940 2231 3880 4462 8924 11155 17848 22310 44620 89240 125743 251486 502972 628715 1005944 1257430 2514860 2892089 5029720 5784178 11568356 12197071 14460445 23136712 24394142 28920890 48788284 57841780 60985355 97576568 115683560 121970710 243941420 280532633 487882840 561065266 1122130532 1402663165 2244261064 2805326330 5610652660 11221305320