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11133440112 = 2432935922279
BaseRepresentation
bin10100101111001101…
…01101000001110000
31001201220112100122210
422113212231001300
5140300130040422
65040432132120
7542616452034
oct122746550160
931656470583
1011133440112
1147a359a383
1221a8697040
131085778bb2
147788c81c4
1545264c10c
hex2979ad070

11133440112 has 80 divisors (see below), whose sum is σ = 29837376000. Its totient is φ = 3573034752.

The previous prime is 11133440093. The next prime is 11133440209. The reversal of 11133440112 is 21104433111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488589 + ... + 510867.

It is an arithmetic number, because the mean of its divisors is an integer number (372967200).

Almost surely, 211133440112 is an apocalyptic number.

11133440112 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 11133440112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14918688000).

11133440112 is an abundant number, since it is smaller than the sum of its proper divisors (18703935888).

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

11133440112 is a wasteful number, since it uses less digits than its factorization.

11133440112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22678 (or 22672 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11133440112 its reverse (21104433111), we get a palindrome (32237873223).

The spelling of 11133440112 in words is "eleven billion, one hundred thirty-three million, four hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 359 464 696 718 1077 1392 1436 2154 2872 4308 5744 8616 10411 17232 20822 22279 31233 41644 44558 62466 66837 83288 89116 124932 133674 166576 178232 249864 267348 356464 499728 534696 646091 1069392 1292182 1938273 2584364 3876546 5168728 7753092 7998161 10337456 15506184 15996322 23994483 31012368 31992644 47988966 63985288 95977932 127970576 191955864 231946669 383911728 463893338 695840007 927786676 1391680014 1855573352 2783360028 3711146704 5566720056 11133440112