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11122013112 = 2337537173241
BaseRepresentation
bin10100101101110110…
…00111001110111000
31001201010000210202120
422112323013032320
5140234213404422
65035343201240
7542420360130
oct122673071670
931633023676
1011122013112
1147980a5081
1221a48a6220
1310832a7962
14777191ac0
1545164145c
hex296ec73b8

11122013112 has 256 divisors, whose sum is σ = 33420625920. Its totient is φ = 3019161600.

The previous prime is 11122013093. The next prime is 11122013129. The reversal of 11122013112 is 21131022111.

It is a junction number, because it is equal to n+sod(n) for n = 11122013091 and 11122013100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46149312 + ... + 46149552.

It is an arithmetic number, because the mean of its divisors is an integer number (130549320).

Almost surely, 211122013112 is an apocalyptic number.

11122013112 is a gapful number since it is divisible by the number (12) 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 11122013112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16710312960).

11122013112 is an abundant number, since it is smaller than the sum of its proper divisors (22298612808).

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

11122013112 is a wasteful number, since it uses less digits than its factorization.

11122013112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11122013112 its reverse (21131022111), we get a palindrome (32253035223).

The spelling of 11122013112 in words is "eleven billion, one hundred twenty-two million, thirteen thousand, one hundred twelve".