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11230770096 = 24337132312421
BaseRepresentation
bin10100111010110011…
…11111001110110000
31001222200200020022000
422131121333032300
5141000034120341
65054230214000
7545210653650
oct123531771660
931880606260
1011230770096
114843527887
1222151b4300
13109c9962c0
147877c2360
1545ae758b6
hex29d67f3b0

11230770096 has 320 divisors, whose sum is σ = 41404016640. Its totient is φ = 2832952320.

The previous prime is 11230770053. The next prime is 11230770101. The reversal of 11230770096 is 69007703211.

It is a happy number.

It is a super-2 number, since 2×112307700962 (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11230770096.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897966 + ... + 910386.

It is an arithmetic number, because the mean of its divisors is an integer number (129387552).

Almost surely, 211230770096 is an apocalyptic number.

11230770096 is a gapful number since it is divisible by the number (16) 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 11230770096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20702008320).

11230770096 is an abundant number, since it is smaller than the sum of its proper divisors (30173246544).

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

11230770096 is a wasteful number, since it uses less digits than its factorization.

11230770096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12481 (or 12469 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 11230770096 in words is "eleven billion, two hundred thirty million, seven hundred seventy thousand, ninety-six".