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11110220212 = 227213325801
BaseRepresentation
bin10100101100011100…
…01000000110110100
31001200021211122221111
422112032020012310
5140223204021322
65034242324404
7542215212400
oct122616100664
931607748844
1011110220212
11479147a983
1221a0959704
131080a09000
147757a2100
154505b2177
hex2963881b4

11110220212 has 72 divisors (see below), whose sum is σ = 24502095240. Its totient is φ = 4395081600.

The previous prime is 11110220183. The next prime is 11110220213. The reversal of 11110220212 is 21202201111.

It can be written as a sum of positive squares in 4 ways, for example, as 3296367396 + 7813852816 = 57414^2 + 88396^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 11110220192 and 11110220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11110220213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 417712 + ... + 443512.

Almost surely, 211110220212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11110220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12251047620).

11110220212 is an abundant number, since it is smaller than the sum of its proper divisors (13391875028).

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

11110220212 is a wasteful number, since it uses less digits than its factorization.

11110220212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25858 (or 25823 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11110220212 its reverse (21202201111), we get a palindrome (32312421323).

The spelling of 11110220212 in words is "eleven billion, one hundred ten million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1183 1274 2197 2366 2548 4394 4732 8281 8788 15379 16562 25801 30758 33124 51602 61516 103204 107653 180607 215306 335413 361214 430612 670826 722428 1264249 1341652 2347891 2528498 4360369 4695782 5056996 8720738 9391564 16435237 17441476 30522583 32870474 56684797 61045166 65740948 113369594 122090332 213658081 226739188 396793579 427316162 793587158 854632324 1587174316 2777555053 5555110106 11110220212