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11132113344 = 26311231012269
BaseRepresentation
bin10100101111000011…
…01001000111000000
31001201211000221200020
422113201221013000
5140244310111334
65040343453440
7542602254642
oct122741510700
931654027606
1011132113344
1147a2873580
1221a8157280
131085403021
14778660892
15452488e49
hex2978691c0

11132113344 has 224 divisors, whose sum is σ = 33875228160. Its totient is φ = 3193344000.

The previous prime is 11132113331. The next prime is 11132113397. The reversal of 11132113344 is 44331123111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4905042 + ... + 4907310.

Almost surely, 211132113344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11132113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16937614080).

11132113344 is an abundant number, since it is smaller than the sum of its proper divisors (22743114816).

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

11132113344 is a wasteful number, since it uses less digits than its factorization.

11132113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2409 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 11132113344 its reverse (44331123111), we get a palindrome (55463236455).

The spelling of 11132113344 in words is "eleven billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred forty-four".