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11140022124 = 22337112358243
BaseRepresentation
bin10100101111111111…
…10011111101101100
31001202100220202111000
422113333303331230
5140303321201444
65041225200300
7543026424420
oct122777637554
931670822430
1011140022124
1147a7285560
1221aa930090
131086c41a8a
1477971cb80
15452eec469
hex297ff3f6c

11140022124 has 192 divisors, whose sum is σ = 37574369280. Its totient is φ = 2767659840.

The previous prime is 11140022099. The next prime is 11140022209. The reversal of 11140022124 is 42122004111.

It is a super-3 number, since 3×111400221243 (a number of 31 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11140022097 and 11140022106.

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, 162147 + ... + 220389.

It is an arithmetic number, because the mean of its divisors is an integer number (195699840).

Almost surely, 211140022124 is an apocalyptic number.

11140022124 is a gapful number since it is divisible by the number (14) 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 11140022124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18787184640).

11140022124 is an abundant number, since it is smaller than the sum of its proper divisors (26434347156).

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

11140022124 is a wasteful number, since it uses less digits than its factorization.

11140022124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58297 (or 58289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11140022124 its reverse (42122004111), we get a palindrome (53262026235).

The spelling of 11140022124 in words is "eleven billion, one hundred forty million, twenty-two thousand, one hundred twenty-four".