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102102330 = 235112947227
BaseRepresentation
bin1100001010111…
…11010100111010
321010010100001210
412011133110322
5202114233310
614044223550
72346566301
oct605372472
9233110053
10102102330
11526a7aa0
122a23abb6
13181cb6a5
14d7bb438
158e6c820
hex615f53a

102102330 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 23287040.

The previous prime is 102102307. The next prime is 102102337. The reversal of 102102330 is 33201201.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102102337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449677 + ... + 449903.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2102102330 is an apocalyptic number.

102102330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

102102330 is an abundant number, since it is smaller than the sum of its proper divisors (181566150).

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

102102330 is a wasteful number, since it uses less digits than its factorization.

102102330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102102330 is about 10104.5697582826. The cubic root of 102102330 is about 467.3890687829.

Adding to 102102330 its reverse (33201201), we get a palindrome (135303531).

The spelling of 102102330 in words is "one hundred two million, one hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 47 55 58 66 87 94 110 141 145 165 174 227 235 282 290 319 330 435 454 470 517 638 681 705 870 957 1034 1135 1362 1363 1410 1551 1595 1914 2270 2497 2585 2726 3102 3190 3405 4089 4785 4994 5170 6583 6810 6815 7491 7755 8178 9570 10669 12485 13166 13630 14982 14993 15510 19749 20445 21338 24970 29986 32007 32915 37455 39498 40890 44979 53345 64014 65830 72413 74910 74965 89958 98745 106690 117359 144826 149930 160035 197490 217239 224895 234718 309401 320070 352077 362065 434478 449790 586795 618802 704154 724130 928203 1086195 1173590 1547005 1760385 1856406 2172390 3094010 3403411 3520770 4641015 6806822 9282030 10210233 17017055 20420466 34034110 51051165 102102330