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11212021220 = 225171910915923
BaseRepresentation
bin10100111000100100…
…11101110111100100
31001221101101200200012
422130102131313210
5140430234134340
65052320305352
7544562415341
oct123422356744
931841350605
1011212021220
114833991544
12220aa72258
131098b304aa
147851017c8
154594c0565
hex29c49dde4

11212021220 has 96 divisors (see below), whose sum is σ = 26484796800. Its totient is φ = 3961903104.

The previous prime is 11212021217. The next prime is 11212021231. The reversal of 11212021220 is 2212021211.

It is a junction number, because it is equal to n+sod(n) for n = 11212021195 and 11212021204.

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, 696179 + ... + 712101.

It is an arithmetic number, because the mean of its divisors is an integer number (275883300).

Almost surely, 211212021220 is an apocalyptic number.

11212021220 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 11212021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13242398400).

11212021220 is an abundant number, since it is smaller than the sum of its proper divisors (15272775580).

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

11212021220 is a wasteful number, since it uses less digits than its factorization.

11212021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16077 (or 16075 counting only the distinct ones).

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

Adding to 11212021220 its reverse (2212021211), we get a palindrome (13424042431).

Subtracting from 11212021220 its reverse (2212021211), we obtain a palindrome (9000000009).

The spelling of 11212021220 in words is "eleven billion, two hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 109 170 190 218 323 340 380 436 545 646 1090 1292 1615 1853 2071 2180 3230 3706 4142 6460 7412 8284 9265 10355 15923 18530 20710 31846 35207 37060 41420 63692 70414 79615 140828 159230 176035 270691 302537 318460 352070 541382 605074 704140 1082764 1210148 1353455 1512685 1735607 2706910 3025370 3471214 5143129 5413820 6050740 6942428 8678035 10286258 17356070 20572516 25715645 29505319 32976533 34712140 51431290 59010638 65953066 102862580 118021276 131906132 147526595 164882665 295053190 329765330 560601061 590106380 659530660 1121202122 2242404244 2803005305 5606010610 11212021220