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102330042240 = 2735415712821
BaseRepresentation
bin101111101001101011…
…0001000011110000000
3100210010120000202022110
41133103112020132000
53134032442322430
6115002035535320
710251556002366
oct1372326103600
9323116022273
10102330042240
113a441706348
12179ba15a540
13985a472b6a
144d4a6ad636
1529dda927b0
hex17d3588780

102330042240 has 128 divisors (see below), whose sum is σ = 326280921120. Its totient is φ = 27279319040.

The previous prime is 102330042209. The next prime is 102330042247. The reversal of 102330042240 is 42240033201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330042247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7975030 + ... + 7987850.

Almost surely, 2102330042240 is an apocalyptic number.

102330042240 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 102330042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163140460560).

102330042240 is an abundant number, since it is smaller than the sum of its proper divisors (223950878880).

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

102330042240 is a wasteful number, since it uses less digits than its factorization.

102330042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17000 (or 16988 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 102330042240 its reverse (42240033201), we get a palindrome (144570075441).

The spelling of 102330042240 in words is "one hundred two billion, three hundred thirty million, forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4157 8314 12471 12821 16628 20785 24942 25642 33256 38463 41570 49884 51284 62355 64105 66512 76926 83140 99768 102568 124710 128210 133024 153852 166280 192315 199536 205136 249420 256420 266048 307704 332560 384630 399072 410272 498840 512840 532096 615408 665120 769260 798144 820544 997680 1025680 1230816 1330240 1538520 1596288 1641088 1995360 2051360 2461632 2660480 3077040 3990720 4102720 4923264 6154080 7981440 8205440 12308160 24616320 53296897 106593794 159890691 213187588 266484485 319781382 426375176 532968970 639562764 799453455 852750352 1065937940 1279125528 1598906910 1705500704 2131875880 2558251056 3197813820 3411001408 4263751760 5116502112 6395627640 6822002816 8527503520 10233004224 12791255280 17055007040 20466008448 25582510560 34110014080 51165021120 102330042240