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102330133110 = 2335834566271
BaseRepresentation
bin101111101001101011…
…0011110101001110110
3100210010120012100222000
41133103112132221312
53134033003224420
6115002041520130
710251556531332
oct1372326365166
9323116170860
10102330133110
113a441768647
12179ba1a3046
13985a4a532a
144d4a6d47c2
1529ddaae690
hex17d359ea76

102330133110 has 64 divisors (see below), whose sum is σ = 276168130560. Its totient is φ = 26959258080.

The previous prime is 102330133109. The next prime is 102330133111. The reversal of 102330133110 is 11331033201.

It is a happy number.

102330133110 is a `hidden beast` number, since 1 + 0 + 2 + 330 + 1 + 331 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102330133109) and next prime (102330133111).

It is a super-2 number, since 2×1023301331102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102330133111) by changing a digit.

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, 2260726 + ... + 2305545.

It is an arithmetic number, because the mean of its divisors is an integer number (4315127040).

Almost surely, 2102330133110 is an apocalyptic number.

102330133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102330133110 is an abundant number, since it is smaller than the sum of its proper divisors (173837997450).

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

102330133110 is a wasteful number, since it uses less digits than its factorization.

102330133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4566370 (or 4566364 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102330133110 its reverse (11331033201), we get a palindrome (113661166311).

Subtracting from 102330133110 its reverse (11331033201), we obtain a palindrome (90999099909).

The spelling of 102330133110 in words is "one hundred two billion, three hundred thirty million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 7470 11205 22410 4566271 9132542 13698813 22831355 27397626 41096439 45662710 68494065 82192878 123289317 136988130 205482195 246578634 379000493 410964390 616446585 758000986 1137001479 1232893170 1895002465 2274002958 3411004437 3790004930 5685007395 6822008874 10233013311 11370014790 17055022185 20466026622 34110044370 51165066555 102330133110