Search a number
-
+
11301131112 = 2333723395441
BaseRepresentation
bin10101000011001100…
…11001001101101000
31002011121001221110120
422201212121031220
5141121042143422
65105222243240
7550024013055
oct124146311550
932147057416
1011301131112
11487a215087
122234886520
1310b143023b
14792c9a02c
1546222345c
hex2a1999368

11301131112 has 64 divisors (see below), whose sum is σ = 29034158400. Its totient is φ = 3662991360.

The previous prime is 11301131111. The next prime is 11301131143. The reversal of 11301131112 is 21113110311.

It is a super-2 number, since 2×113011311122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11301131091 and 11301131100.

It is not an unprimeable number, because it can be changed into a prime (11301131111) 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, 2074312 + ... + 2079752.

It is an arithmetic number, because the mean of its divisors is an integer number (453658725).

Almost surely, 211301131112 is an apocalyptic number.

11301131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11301131112 is an abundant number, since it is smaller than the sum of its proper divisors (17733027288).

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

11301131112 is a wasteful number, since it uses less digits than its factorization.

11301131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7826 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11301131112 its reverse (21113110311), we get a palindrome (32414241423).

The spelling of 11301131112 in words is "eleven billion, three hundred one million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 2339 4678 5441 7017 9356 10882 14034 16323 18712 21764 28068 32646 43528 56136 65292 86543 130584 173086 201317 259629 346172 402634 519258 603951 692344 805268 1038516 1207902 1610536 2077032 2415804 4831608 12726499 25452998 38179497 50905996 76358994 101811992 152717988 305435976 470880463 941760926 1412641389 1883521852 2825282778 3767043704 5650565556 11301131112