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1112131332 = 22321319181691
BaseRepresentation
bin100001001001001…
…1100011100000100
32212111200010101100
41002102130130010
54234201200312
6302204500100
736362650254
oct10222343404
92774603340
101112131332
11520850804
1227054a630
1314953a6a0
14a79b9964
15679805dc
hex4249c704

1112131332 has 144 divisors (see below), whose sum is σ = 3209053120. Its totient is φ = 321926400.

The previous prime is 1112131327. The next prime is 1112131337. The reversal of 1112131332 is 2331312111.

It is an interprime number because it is at equal distance from previous prime (1112131327) and next prime (1112131337).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1112131337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609107 + ... + 1609797.

Almost surely, 21112131332 is an apocalyptic number.

1112131332 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 1112131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604526560).

1112131332 is an abundant number, since it is smaller than the sum of its proper divisors (2096921788).

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

1112131332 is a wasteful number, since it uses less digits than its factorization.

1112131332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 909 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1112131332 is about 33348.6331354075. The cubic root of 1112131332 is about 1036.0610780267.

Adding to 1112131332 its reverse (2331312111), we get a palindrome (3443443443).

The spelling of 1112131332 in words is "one billion, one hundred twelve million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 181 228 234 247 342 362 468 494 543 684 691 724 741 988 1086 1382 1482 1629 2073 2172 2223 2353 2764 2964 3258 3439 4146 4446 4706 6219 6516 6878 7059 8292 8892 8983 9412 10317 12438 13129 13756 14118 17966 20634 21177 24876 26258 26949 28236 30951 35932 39387 41268 42354 44707 52516 53898 61902 78774 80847 84708 89414 107796 118161 123804 125071 134121 157548 161694 170677 178828 236322 250142 268242 323388 341354 375213 402363 472644 500284 512031 536484 682708 750426 804726 1024062 1125639 1500852 1536093 1609452 1625923 2048124 2251278 2376349 3072186 3251846 4502556 4752698 4877769 6144372 6503692 7129047 9505396 9755538 14258094 14633307 19511076 21387141 28516188 29266614 30892537 42774282 58533228 61785074 85548564 92677611 123570148 185355222 278032833 370710444 556065666 1112131332