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1112001132 = 223112839227
BaseRepresentation
bin100001001000111…
…1100101001101100
32212111102111210010
41002101330221230
54234133014012
6302202013220
736361565544
oct10221745154
92774374703
101112001132
11520771a00
122704a7210
131494c3348
14a7984324
1567956c3c
hex4247ca6c

1112001132 has 72 divisors (see below), whose sum is σ = 2886666048. Its totient is φ = 332874080.

The previous prime is 1112001131. The next prime is 1112001133. The reversal of 1112001132 is 2311002111.

It is an interprime number because it is at equal distance from previous prime (1112001131) and next prime (1112001133).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1112001131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115903 + ... + 125129.

It is an arithmetic number, because the mean of its divisors is an integer number (40092584).

Almost surely, 21112001132 is an apocalyptic number.

1112001132 is a gapful number since it is divisible by the number (12) 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 1112001132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443333024).

1112001132 is an abundant number, since it is smaller than the sum of its proper divisors (1774664916).

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

1112001132 is a wasteful number, since it uses less digits than its factorization.

1112001132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9339 (or 9326 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1112001132 is about 33346.6809742739. The cubic root of 1112001132 is about 1036.0206450272.

Adding to 1112001132 its reverse (2311002111), we get a palindrome (3423003243).

The spelling of 1112001132 in words is "one billion, one hundred twelve million, one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 242 249 332 363 484 498 726 913 996 1452 1826 2739 3652 5478 9227 10043 10956 18454 20086 27681 30129 36908 40172 55362 60258 101497 110724 120516 202994 304491 405988 608982 765841 1116467 1217964 1531682 2232934 2297523 3063364 3349401 4465868 4595046 6698802 8424251 9190092 13397604 16848502 25272753 33697004 50545506 92666761 101091012 185333522 278000283 370667044 556000566 1112001132