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13112121003333 = 3119713131269143
BaseRepresentation
bin1011111011001110011101…
…0100001000110101000101
31201102111200020221122020120
42332303213110020311011
53204312110434101313
643515343014452153
72522214403404132
oct276634724106505
951374606848216
1013112121003333
1141a5901524020
121579272964059
13741610718181
143348b6ba1589
1517b122a94d23
hexbece7508d45

13112121003333 has 32 divisors (see below), whose sum is σ = 19415887045632. Its totient is φ = 7804777843200.

The previous prime is 13112121003271. The next prime is 13112121003379. The reversal of 13112121003333 is 33330012121131.

It is not a de Polignac number, because 13112121003333 - 218 = 13112120741189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112121008333) 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, 15215241 + ... + 16053902.

It is an arithmetic number, because the mean of its divisors is an integer number (606746470176).

Almost surely, 213112121003333 is an apocalyptic number.

It is an amenable number.

13112121003333 is a deficient number, since it is larger than the sum of its proper divisors (6303766042299).

13112121003333 is a wasteful number, since it uses less digits than its factorization.

13112121003333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31269385.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13112121003333 its reverse (33330012121131), we get a palindrome (46442133124464).

The spelling of 13112121003333 in words is "thirteen trillion, one hundred twelve billion, one hundred twenty-one million, three thousand, three hundred thirty-three".

Divisors: 1 3 11 33 97 131 291 393 1067 1441 3201 4323 12707 38121 139777 419331 31269143 93807429 343960573 1031881719 3033106871 4096257733 9099320613 12288773199 33364175581 45058835063 100092526743 135176505189 397337000101 1192011000303 4370707001111 13112121003333