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1300102200 = 2332521742487
BaseRepresentation
bin100110101111101…
…1111110000111000
310100121101000221100
41031133133300320
510130311232300
6333001411400
744134454265
oct11537376070
93317330840
101300102200
11607968031
12303499b60
13179472657
14c494a26c
1579210700
hex4d7dfc38

1300102200 has 144 divisors (see below), whose sum is σ = 4623119280. Its totient is φ = 326292480.

The previous prime is 1300102099. The next prime is 1300102201. The reversal of 1300102200 is 22010031.

It is a happy number.

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 (1300102201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9357 + ... + 51843.

It is an arithmetic number, because the mean of its divisors is an integer number (32104995).

Almost surely, 21300102200 is an apocalyptic number.

1300102200 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 1300102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311559640).

1300102200 is an abundant number, since it is smaller than the sum of its proper divisors (3323017080).

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

1300102200 is a wasteful number, since it uses less digits than its factorization.

1300102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42526 (or 42514 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1300102200 is about 36056.9299857878. The cubic root of 1300102200 is about 1091.4214824021.

Adding to 1300102200 its reverse (22010031), we get a palindrome (1322112231).

The spelling of 1300102200 in words is "one billion, three hundred million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 25 30 34 36 40 45 50 51 60 68 72 75 85 90 100 102 120 136 150 153 170 180 200 204 225 255 300 306 340 360 408 425 450 510 600 612 680 765 850 900 1020 1224 1275 1530 1700 1800 2040 2550 3060 3400 3825 5100 6120 7650 10200 15300 30600 42487 84974 127461 169948 212435 254922 339896 382383 424870 509844 637305 722279 764766 849740 1019688 1062175 1274610 1444558 1529532 1699480 1911915 2124350 2166837 2549220 2889116 3059064 3186525 3611395 3823830 4248700 4333674 5098440 5778232 6373050 6500511 7222790 7647660 8497400 8667348 9559575 10834185 12746100 13001022 14445580 15295320 17334696 18056975 19119150 21668370 25492200 26002044 28891160 32502555 36113950 38238300 43336740 52004088 54170925 65005110 72227900 76476600 86673480 108341850 130010220 144455800 162512775 216683700 260020440 325025550 433367400 650051100 1300102200