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1125231136 = 25473072437
BaseRepresentation
bin100001100010001…
…1010101000100000
32220102022122221021
41003010122220200
54301024344021
6303353335224
736612210151
oct10304325040
92812278837
101125231136
11528188897
12274a07514
1314c176153
14a9629928
1568bbbc41
hex4311aa20

1125231136 has 48 divisors (see below), whose sum is σ = 2270733696. Its totient is φ = 548626176.

The previous prime is 1125231097. The next prime is 1125231143. The reversal of 1125231136 is 6311325211.

It is a happy number.

It is a super-2 number, since 2×11252311362 = 2532290218847700992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1125231136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 460510 + ... + 462946.

It is an arithmetic number, because the mean of its divisors is an integer number (47306952).

Almost surely, 21125231136 is an apocalyptic number.

1125231136 is a gapful number since it is divisible by the number (16) 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 1125231136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135366848).

1125231136 is an abundant number, since it is smaller than the sum of its proper divisors (1145502560).

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

1125231136 is a wasteful number, since it uses less digits than its factorization.

1125231136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2793 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 1125231136 is about 33544.4650575918. The cubic root of 1125231136 is about 1040.1131336492.

Adding to 1125231136 its reverse (6311325211), we get a palindrome (7436556347).

The spelling of 1125231136 in words is "one billion, one hundred twenty-five million, two hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 94 188 307 376 614 752 1228 1504 2437 2456 4874 4912 9748 9824 14429 19496 28858 38992 57716 77984 114539 115432 229078 230864 458156 461728 748159 916312 1496318 1832624 2992636 3665248 5985272 11970544 23941088 35163473 70326946 140653892 281307784 562615568 1125231136