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11121123310 = 2511241224171
BaseRepresentation
bin10100101101101111…
…01101111111101110
31001201001100121011221
422112313231333232
5140234001421220
65035312133554
7542406663013
oct122667557756
931631317157
1011121123310
114797647600
1221a45372ba
13108305594b
14776ddd70a
154515179aa
hex296dedfee

11121123310 has 48 divisors (see below), whose sum is σ = 22540046256. Its totient is φ = 3945392000.

The previous prime is 11121123289. The next prime is 11121123311. The reversal of 11121123310 is 1332112111.

It is a happy number.

It is a super-7 number, since 7×111211233107 (a number of 72 digits) contains 7777777 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11121123311) 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, 62476 + ... + 161695.

It is an arithmetic number, because the mean of its divisors is an integer number (469584297).

Almost surely, 211121123310 is an apocalyptic number.

11121123310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11121123310 is an abundant number, since it is smaller than the sum of its proper divisors (11418922946).

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

11121123310 is a wasteful number, since it uses less digits than its factorization.

11121123310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224241 (or 224230 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11121123310 its reverse (1332112111), we get a palindrome (12453235421).

It can be divided in two parts, 11121 and 123310, that added together give a palindrome (134431).

The spelling of 11121123310 in words is "eleven billion, one hundred twenty-one million, one hundred twenty-three thousand, three hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 121 205 242 410 451 605 902 1210 2255 4510 4961 9922 24805 49610 224171 448342 1120855 2241710 2465881 4931762 9191011 12329405 18382022 24658810 27124691 45955055 54249382 91910110 101101121 135623455 202202242 271246910 505505605 1011011210 1112112331 2224224662 5560561655 11121123310