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12130101212535 = 3254142831535041
BaseRepresentation
bin1011000010000100001001…
…0111111011010101110111
31120221121220121110110220200
42300201002113323111313
53042214421402300120
641444254102331543
72361241134042105
oct260410227732567
946847817413820
1012130101212535
11395738a9a3459
12143aa8a429bb3
1369cb2c540a97
142dd1586b2c75
151607e9ac7e90
hexb08425fb577

12130101212535 has 48 divisors (see below), whose sum is σ = 21543368884128. Its totient is φ = 6310119628800.

The previous prime is 12130101212513. The next prime is 12130101212543. The reversal of 12130101212535 is 53521210103121.

12130101212535 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 1 + 0 + 121 + 2 + 535 = 666.

It is not a de Polignac number, because 12130101212535 - 28 = 12130101212279 is a prime.

It is a super-2 number, since 2×121301012125352 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130101212499 and 12130101212508.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7134615 + ... + 8669655.

It is an arithmetic number, because the mean of its divisors is an integer number (448820185086).

Almost surely, 212130101212535 is an apocalyptic number.

12130101212535 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12130101212535 is a deficient number, since it is larger than the sum of its proper divisors (9413267671593).

12130101212535 is a wasteful number, since it uses less digits than its factorization.

12130101212535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539376 (or 1539373 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 12130101212535 its reverse (53521210103121), we get a palindrome (65651311315656).

The spelling of 12130101212535 in words is "twelve trillion, one hundred thirty billion, one hundred one million, two hundred twelve thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 615 1845 4283 12849 21415 38547 64245 175603 192735 526809 878015 1535041 1580427 2634045 4605123 7675205 7902135 13815369 23025615 62936681 69076845 188810043 314683405 566430129 944050215 2832150645 6574580603 19723741809 32872903015 59171225427 98618709045 269557804723 295856127135 808673414169 1347789023615 2426020242507 4043367070845 12130101212535