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11300232220 = 22529314115329
BaseRepresentation
bin10101000011000101…
…11101110000011100
31002011112101021102021
422201202331300130
5141120324412340
65105151105524
7550013250304
oct124142756034
932145337367
1011300232220
1148797607a2
1222345122a4
1310b11a7054
14792b04604
154620e6e4a
hex2a18bdc1c

11300232220 has 96 divisors (see below), whose sum is σ = 25960435200. Its totient is φ = 4120166400.

The previous prime is 11300232211. The next prime is 11300232227. The reversal of 11300232220 is 2223200311.

It is a super-2 number, since 2×113002322202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11300232194 and 11300232203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11300232227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 729516 + ... + 744844.

It is an arithmetic number, because the mean of its divisors is an integer number (270421200).

Almost surely, 211300232220 is an apocalyptic number.

11300232220 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 11300232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12980217600).

11300232220 is an abundant number, since it is smaller than the sum of its proper divisors (14660202980).

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

11300232220 is a wasteful number, since it uses less digits than its factorization.

11300232220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15439 (or 15437 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11300232220 its reverse (2223200311), we get a palindrome (13523432531).

The spelling of 11300232220 in words is "eleven billion, three hundred million, two hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 31 41 58 62 82 116 124 145 155 164 205 290 310 410 580 620 820 899 1189 1271 1798 2378 2542 3596 4495 4756 5084 5945 6355 8990 11890 12710 15329 17980 23780 25420 30658 36859 61316 73718 76645 147436 153290 184295 306580 368590 444541 475199 628489 737180 889082 950398 1256978 1778164 1900796 2222705 2375995 2513956 3142445 4445410 4751990 6284890 8890820 9503980 12569780 13780771 18226181 19483159 27561542 36452362 38966318 55123084 68903855 72904724 77932636 91130905 97415795 137807710 182261810 194831590 275615420 364523620 389663180 565011611 1130023222 2260046444 2825058055 5650116110 11300232220