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1131023232 = 27321935087
BaseRepresentation
bin100001101101010…
…0000101110000000
32220211012221012100
41003122200232000
54304020220412
6304121430400
740012352553
oct10332405600
92824187170
101131023232
11530484549
1227693b400
13150423621
14aa2d669a
1569462edc
hex436a0b80

1131023232 has 96 divisors (see below), whose sum is σ = 3272143680. Its totient is φ = 374980608.

The previous prime is 1131023227. The next prime is 1131023239. The reversal of 1131023232 is 2323201311.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131023239) 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 11 ways as a sum of consecutive naturals, for example, 219793 + ... + 224879.

It is an arithmetic number, because the mean of its divisors is an integer number (34084830).

Almost surely, 21131023232 is an apocalyptic number.

1131023232 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 1131023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636071840).

1131023232 is an abundant number, since it is smaller than the sum of its proper divisors (2141120448).

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

1131023232 is a wasteful number, since it uses less digits than its factorization.

1131023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5285 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1131023232 is about 33630.6888421870. The cubic root of 1131023232 is about 1041.8947313782.

Adding to 1131023232 its reverse (2323201311), we get a palindrome (3454224543).

The spelling of 1131023232 in words is "one billion, one hundred thirty-one million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 193 288 384 386 576 579 772 1152 1158 1544 1737 2316 3088 3474 4632 5087 6176 6948 9264 10174 12352 13896 15261 18528 20348 24704 27792 30522 37056 40696 45783 55584 61044 74112 81392 91566 111168 122088 162784 183132 222336 244176 325568 366264 488352 651136 732528 976704 981791 1465056 1953408 1963582 2930112 2945373 3927164 5860224 5890746 7854328 8836119 11781492 15708656 17672238 23562984 31417312 35344476 47125968 62834624 70688952 94251936 125669248 141377904 188503872 282755808 377007744 565511616 1131023232