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1131331032 = 2332134328109
BaseRepresentation
bin100001101101110…
…1011110111011000
32220211210120102100
41003123223313120
54304110043112
6304132203400
740015104126
oct10333536730
92824716370
101131331032
11530674827
12276a69560
13150500760
14aa376916
15694c42dc
hex436ebdd8

1131331032 has 96 divisors (see below), whose sum is σ = 3376573200. Its totient is φ = 339994368.

The previous prime is 1131331021. The next prime is 1131331037. The reversal of 1131331032 is 2301331311.

It is a happy number.

1131331032 is a `hidden beast` number, since 11 + 313 + 310 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1131330996 and 1131331014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131331037) 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, 26194 + ... + 54302.

Almost surely, 21131331032 is an apocalyptic number.

1131331032 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 1131331032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688286600).

1131331032 is an abundant number, since it is smaller than the sum of its proper divisors (2245242168).

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

1131331032 is a wasteful number, since it uses less digits than its factorization.

1131331032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28177 (or 28170 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1131331032 is about 33635.2647083385. The cubic root of 1131331032 is about 1041.9892375746.

Adding to 1131331032 its reverse (2301331311), we get a palindrome (3432662343).

The spelling of 1131331032 in words is "one billion, one hundred thirty-one million, three hundred thirty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 774 936 1032 1118 1548 1677 2236 3096 3354 4472 5031 6708 10062 13416 20124 28109 40248 56218 84327 112436 168654 224872 252981 337308 365417 505962 674616 730834 1011924 1096251 1208687 1461668 2023848 2192502 2417374 2923336 3288753 3626061 4385004 4834748 6577506 7252122 8770008 9669496 10878183 13155012 14504244 15712931 21756366 26310024 29008488 31425862 43512732 47138793 62851724 87025464 94277586 125703448 141416379 188555172 282832758 377110344 565665516 1131331032