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1131302200 = 235272241479
BaseRepresentation
bin100001101101110…
…0100110100111000
32220211202002212111
41003123210310320
54304103132300
6304131422104
740014624100
oct10333446470
92824662774
101131302200
115306550a6
12276a54934
131504c05b2
14aa36a200
15694ba9ba
hex436e4d38

1131302200 has 144 divisors (see below), whose sum is σ = 3078820800. Its totient is φ = 385459200.

The previous prime is 1131302197. The next prime is 1131302203. The reversal of 1131302200 is 22031311.

It is an interprime number because it is at equal distance from previous prime (1131302197) and next prime (1131302203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131302203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2361561 + ... + 2362039.

It is an arithmetic number, because the mean of its divisors is an integer number (21380700).

Almost surely, 21131302200 is an apocalyptic number.

1131302200 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 1131302200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539410400).

1131302200 is an abundant number, since it is smaller than the sum of its proper divisors (1947518600).

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

1131302200 is a wasteful number, since it uses less digits than its factorization.

1131302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1131302200 is about 33634.8361078213. The cubic root of 1131302200 is about 1041.9803857921.

Adding to 1131302200 its reverse (22031311), we get a palindrome (1153333511).

The spelling of 1131302200 in words is "one billion, one hundred thirty-one million, three hundred two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 241 245 280 350 392 479 482 490 700 958 964 980 1205 1225 1400 1687 1916 1928 1960 2395 2410 2450 3353 3374 3832 4790 4820 4900 6025 6706 6748 8435 9580 9640 9800 11809 11975 12050 13412 13496 16765 16870 19160 23471 23618 23950 24100 26824 33530 33740 42175 46942 47236 47900 48200 59045 67060 67480 83825 84350 93884 94472 95800 115439 117355 118090 134120 167650 168700 187768 230878 234710 236180 295225 335300 337400 461756 469420 472360 577195 586775 590450 670600 808073 923512 938840 1154390 1173550 1180900 1616146 2308780 2347100 2361800 2885975 3232292 4040365 4617560 4694200 5656511 5771950 6464584 8080730 11313022 11543900 16161460 20201825 22626044 23087800 28282555 32322920 40403650 45252088 56565110 80807300 113130220 141412775 161614600 226260440 282825550 565651100 1131302200