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11226299112 = 233371719127181
BaseRepresentation
bin10100111010010001…
…11011101011101000
31001222101021002021000
422131020323223220
5140442413032422
65053550315000
7545124653010
oct123510735350
931871232230
1011226299112
114840a53756
1222137b8a60
13109ba8c252
14786d7ac40
1545a890cac
hex29d23bae8

11226299112 has 512 divisors, whose sum is σ = 40255488000. Its totient is φ = 2821754880.

The previous prime is 11226299083. The next prime is 11226299137. The reversal of 11226299112 is 21199262211.

11226299112 is a `hidden beast` number, since 1 + 1 + 22 + 629 + 9 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62023662 + ... + 62023842.

It is an arithmetic number, because the mean of its divisors is an integer number (78624000).

Almost surely, 211226299112 is an apocalyptic number.

11226299112 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 11226299112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20127744000).

11226299112 is an abundant number, since it is smaller than the sum of its proper divisors (29029188888).

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

11226299112 is a wasteful number, since it uses less digits than its factorization.

11226299112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 356 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The spelling of 11226299112 in words is "eleven billion, two hundred twenty-six million, two hundred ninety-nine thousand, one hundred twelve".