Search a number
-
+
1132031112 = 233235934759
BaseRepresentation
bin100001101111001…
…0110110010001000
32220220010010202020
41003132112302020
54304244443422
6304155204440
740024051152
oct10336266210
92826103666
101132031112
11531002803
12277146720
131506b72c4
14aa4b9ad2
15695b195c
hex43796c88

1132031112 has 64 divisors (see below), whose sum is σ = 3003264000. Its totient is φ = 354809664.

The previous prime is 1132031101. The next prime is 1132031113. The reversal of 1132031112 is 2111302311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1132031091 and 1132031100.

It is not an unprimeable number, because it can be changed into a prime (1132031113) 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, 15189 + ... + 49947.

It is an arithmetic number, because the mean of its divisors is an integer number (46926000).

Almost surely, 21132031112 is an apocalyptic number.

1132031112 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 1132031112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1501632000).

1132031112 is an abundant number, since it is smaller than the sum of its proper divisors (1871232888).

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

1132031112 is a wasteful number, since it uses less digits than its factorization.

1132031112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34850 (or 34846 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1132031112 is about 33645.6700334530. The cubic root of 1132031112 is about 1042.2041246965.

Adding to 1132031112 its reverse (2111302311), we get a palindrome (3243333423).

The spelling of 1132031112 in words is "one billion, one hundred thirty-two million, thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 59 69 92 118 138 177 184 236 276 354 472 552 708 1357 1416 2714 4071 5428 8142 10856 16284 32568 34759 69518 104277 139036 208554 278072 417108 799457 834216 1598914 2050781 2398371 3197828 4101562 4796742 6152343 6395656 8203124 9593484 12304686 16406248 19186968 24609372 47167963 49218744 94335926 141503889 188671852 283007778 377343704 566015556 1132031112