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1331100 = 2233521729
BaseRepresentation
bin101000100111110011100
32111121221000
411010332130
5320043400
644310300
714212521
oct5047634
92447830
101331100
1182a091
12542390
13377b44
14269148
151b4600
hex144f9c

1331100 has 144 divisors (see below), whose sum is σ = 4687200. Its totient is φ = 322560.

The previous prime is 1331093. The next prime is 1331107. The reversal of 1331100 is 11331.

It is an interprime number because it is at equal distance from previous prime (1331093) and next prime (1331107).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331107) 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, 45886 + ... + 45914.

It is an arithmetic number, because the mean of its divisors is an integer number (32550).

21331100 is an apocalyptic number.

1331100 is a gapful number since it is divisible by the number (10) 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 1331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343600).

1331100 is an abundant number, since it is smaller than the sum of its proper divisors (3356100).

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

1331100 is a wasteful number, since it uses less digits than its factorization.

1331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 1331100 is about 1153.7330713818. The cubic root of 1331100 is about 110.0027547519.

Adding to 1331100 its reverse (11331), we get a palindrome (1342431).

It can be divided in two parts, 1331 and 100, that added together give a triangular number (1431 = T53).

The spelling of 1331100 in words is "one million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 25 27 29 30 34 36 45 50 51 54 58 60 68 75 85 87 90 100 102 108 116 135 145 150 153 170 174 180 204 225 255 261 270 290 300 306 340 348 425 435 450 459 493 510 522 540 580 612 675 725 765 783 850 870 900 918 986 1020 1044 1275 1305 1350 1450 1479 1530 1566 1700 1740 1836 1972 2175 2295 2465 2550 2610 2700 2900 2958 3060 3132 3825 3915 4350 4437 4590 4930 5100 5220 5916 6525 7395 7650 7830 8700 8874 9180 9860 11475 12325 13050 13311 14790 15300 15660 17748 19575 22185 22950 24650 26100 26622 29580 36975 39150 44370 45900 49300 53244 66555 73950 78300 88740 110925 133110 147900 221850 266220 332775 443700 665550 1331100