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12102200010 = 2335411093243
BaseRepresentation
bin10110100010101100…
…01110101011001010
31011020102102110102000
423101112032223022
5144241130400020
65320520051430
7605622000645
oct132126165312
934212373360
1012102200010
115150415a9a
122419003b76
1311ab3987c4
1482b422a5c
154ac70c090
hex2d158eaca

12102200010 has 64 divisors (see below), whose sum is σ = 33059698560. Its totient is φ = 3148536960.

The previous prime is 12102200009. The next prime is 12102200027. The reversal of 12102200010 is 1000220121.

12102200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12102199965 and 12102200001.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 535552 + ... + 557691.

It is an arithmetic number, because the mean of its divisors is an integer number (516557790).

Almost surely, 212102200010 is an apocalyptic number.

12102200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102200010 is an abundant number, since it is smaller than the sum of its proper divisors (20957498550).

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

12102200010 is a wasteful number, since it uses less digits than its factorization.

12102200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093300 (or 1093294 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12102200010 its reverse (1000220121), we get a palindrome (13102420131).

The spelling of 12102200010 in words is "twelve billion, one hundred two million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 1093243 2186486 3279729 5466215 6559458 9839187 10932430 16398645 19678374 29517561 32797290 44822963 49195935 59035122 89645926 98391870 134468889 147587805 224114815 268937778 295175610 403406667 448229630 672344445 806813334 1210220001 1344688890 2017033335 2420440002 4034066670 6051100005 12102200010