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11201231220 = 22357111323269
BaseRepresentation
bin10100110111010010…
…10011100101110100
31001220122002111120120
422123221103211310
5140420003344340
65051253131540
7544401615534
oct123351234564
931818074516
1011201231220
114828891893
122207329bb0
13109682318a
147838d34c4
1545858d4d0
hex29ba53974

11201231220 has 96 divisors (see below), whose sum is σ = 32088026880. Its totient is φ = 2918737920.

The previous prime is 11201231213. The next prime is 11201231221. The reversal of 11201231220 is 2213210211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11201231220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11201231221) 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, 469746 + ... + 493014.

It is an arithmetic number, because the mean of its divisors is an integer number (334250280).

Almost surely, 211201231220 is an apocalyptic number.

11201231220 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 11201231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16044013440).

11201231220 is an abundant number, since it is smaller than the sum of its proper divisors (20886795660).

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

11201231220 is a wasteful number, since it uses less digits than its factorization.

11201231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23465 (or 23463 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11201231220 its reverse (2213210211), we get a palindrome (13414441431).

The spelling of 11201231220 in words is "eleven billion, two hundred one million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 113 142 213 226 284 339 355 426 452 565 678 710 852 1065 1130 1356 1420 1695 2130 2260 3390 4260 6780 8023 16046 23269 24069 32092 40115 46538 48138 69807 80230 93076 96276 116345 120345 139614 160460 232690 240690 279228 349035 465380 481380 698070 1396140 1652099 2629397 3304198 4956297 5258794 6608396 7888191 8260495 9912594 10517588 13146985 15776382 16520990 19825188 24781485 26293970 31552764 33041980 39440955 49562970 52587940 78881910 99125940 157763820 186687187 373374374 560061561 746748748 933435935 1120123122 1866871870 2240246244 2800307805 3733743740 5600615610 11201231220