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102330233330 = 251317109742209
BaseRepresentation
bin101111101001101011…
…0110111000111110010
3100210010120101110102212
41133103112313013302
53134033014431310
6115002044012122
710251560426453
oct1372326670762
9323116343385
10102330233330
113a441826976
12179ba231042
13985a50bb30
144d4a71d12a
1529ddace205
hex17d35b71f2

102330233330 has 64 divisors (see below), whose sum is σ = 210228086880. Its totient is φ = 35527655424.

The previous prime is 102330233303. The next prime is 102330233399. The reversal of 102330233330 is 33332033201.

It can be written as a sum of positive squares in 16 ways, for example, as 10407876361 + 91922356969 = 102019^2 + 303187^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102330233296 and 102330233305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2403266 + ... + 2445474.

Almost surely, 2102330233330 is an apocalyptic number.

102330233330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102330233330 is an abundant number, since it is smaller than the sum of its proper divisors (107897853550).

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

102330233330 is a wasteful number, since it uses less digits than its factorization.

102330233330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43343.

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 102330233330 its reverse (33332033201), we get a palindrome (135662266531).

The spelling of 102330233330 in words is "one hundred two billion, three hundred thirty million, two hundred thirty-three thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1097 1105 2194 2210 5485 10970 14261 18649 28522 37298 42209 71305 84418 93245 142610 186490 211045 242437 422090 484874 548717 717553 1097434 1212185 1435106 2424370 2743585 3587765 5487170 7175530 9328189 18656378 46303273 46640945 92606546 93281890 231516365 463032730 601942549 787155641 1203885098 1574311282 3009712745 3935778205 6019425490 7871556410 10233023333 20466046666 51165116665 102330233330