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11125106132 = 2274125138609
BaseRepresentation
bin10100101110001101…
…11010010111010100
31001201022211221120212
422113012322113110
5140241011344012
65035533344552
7542455561520
oct122706722724
931638757525
1011125106132
114799917998
1221a5938158
131083b1b74a
14777758d80
15451a52b22
hex2971ba5d4

11125106132 has 48 divisors (see below), whose sum is σ = 22884301440. Its totient is φ = 4632960000.

The previous prime is 11125106131. The next prime is 11125106137. The reversal of 11125106132 is 23160152111.

It is a junction number, because it is equal to n+sod(n) for n = 11125106098 and 11125106107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11125106131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268844 + ... + 307452.

It is an arithmetic number, because the mean of its divisors is an integer number (476756280).

Almost surely, 211125106132 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 11125106132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442150720).

11125106132 is an abundant number, since it is smaller than the sum of its proper divisors (11759195308).

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

11125106132 is a wasteful number, since it uses less digits than its factorization.

11125106132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38912 (or 38910 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 11125106132 its reverse (23160152111), we get a palindrome (34285258243).

The spelling of 11125106132 in words is "eleven billion, one hundred twenty-five million, one hundred six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 82 164 251 287 502 574 1004 1148 1757 3514 7028 10291 20582 38609 41164 72037 77218 144074 154436 270263 288148 540526 1081052 1582969 3165938 6331876 9690859 11080783 19381718 22161566 38763436 44323132 67836013 135672026 271344052 397325219 794650438 1589300876 2781276533 5562553066 11125106132