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11132134224 = 2433118141333
BaseRepresentation
bin10100101111000011…
…01110001101010000
31001201211002000022120
422113201232031100
5140244311243344
65040344134240
7542602402551
oct122741561520
931654060276
1011132134224
1147a2888232
1221a8167380
13108540c693
14778668328
15452490219
hex29786e350

11132134224 has 80 divisors (see below), whose sum is σ = 29850422784. Its totient is φ = 3571084800.

The previous prime is 11132134199. The next prime is 11132134243. The reversal of 11132134224 is 42243123111.

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 junction number, because it is equal to n+sod(n) for n = 11132134194 and 11132134203.

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, 248662 + ... + 289994.

Almost surely, 211132134224 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 11132134224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925211392).

11132134224 is an abundant number, since it is smaller than the sum of its proper divisors (18718288560).

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

11132134224 is a wasteful number, since it uses less digits than its factorization.

11132134224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41556 (or 41550 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11132134224 its reverse (42243123111), we get a palindrome (53375257335).

The spelling of 11132134224 in words is "eleven billion, one hundred thirty-two million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 181 186 248 362 372 496 543 724 744 1086 1448 1488 2172 2896 4344 5611 8688 11222 16833 22444 33666 41333 44888 67332 82666 89776 123999 134664 165332 247998 269328 330664 495996 661328 991992 1281323 1983984 2562646 3843969 5125292 7481273 7687938 10250584 14962546 15375876 20501168 22443819 29925092 30751752 44887638 59850184 61503504 89775276 119700368 179550552 231919463 359101104 463838926 695758389 927677852 1391516778 1855355704 2783033556 3710711408 5566067112 11132134224