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11125630242 = 2322390729629
BaseRepresentation
bin10100101110010001…
…11010010100100010
31001201100211120112100
422113020322110202
5140241130131432
65035552511230
7542463203526
oct122710722442
931640746470
1011125630242
11479a145741
1221a5b4b516
131083c7317c
14777853d86
15451b0807c
hex29723a522

11125630242 has 48 divisors (see below), whose sum is σ = 25182181440. Its totient is φ = 3543271776.

The previous prime is 11125630211. The next prime is 11125630273. The reversal of 11125630242 is 24203652111.

11125630242 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 5 + 630 + 24 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (11125630211) and next prime (11125630273).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360684 + ... + 390312.

It is an arithmetic number, because the mean of its divisors is an integer number (524628780).

Almost surely, 211125630242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11125630242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591090720).

11125630242 is an abundant number, since it is smaller than the sum of its proper divisors (14056551198).

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

11125630242 is a wasteful number, since it uses less digits than its factorization.

11125630242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30567 (or 30564 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 11125630242 in words is "eleven billion, one hundred twenty-five million, six hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 907 1814 2721 5442 8163 16326 20861 29629 41722 59258 62583 88887 125166 177774 187749 266661 375498 533322 681467 1362934 2044401 4088802 6133203 12266406 26873503 53747006 80620509 161241018 241861527 483723054 618090569 1236181138 1854271707 3708543414 5562815121 11125630242