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11522412000 = 253453115361
BaseRepresentation
bin10101011101100101…
…00000110111100000
31002202000110011210000
422232302200313200
5142044214141000
65143205140000
7555351612621
oct125662406740
932660404700
1011522412000
114983112750
1222969ba600
131118228988
147b441ba48
15476883000
hex2aeca0de0

11522412000 has 960 divisors, whose sum is σ = 47776817088. Its totient is φ = 2695680000.

The previous prime is 11522411983. The next prime is 11522412023. The reversal of 11522412000 is 21422511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 188891970 + ... + 188892030.

Almost surely, 211522412000 is an apocalyptic number.

11522412000 is a gapful number since it is divisible by the number (10) 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 11522412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23888408544).

11522412000 is an abundant number, since it is smaller than the sum of its proper divisors (36254405088).

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

11522412000 is a wasteful number, since it uses less digits than its factorization.

11522412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 11522412000 its reverse (21422511), we get a palindrome (11543834511).

The spelling of 11522412000 in words is "eleven billion, five hundred twenty-two million, four hundred twelve thousand".