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12211032010013 = 172125393369703
BaseRepresentation
bin1011000110110001101000…
…1110011010110100011101
31121020100210211000222000022
42301230122032122310131
53100031143143310023
641545400510241525
72400134520342014
oct261543216326435
947210724028008
1012211032010013
113988740257451
1214526b5ab62a5
136a7659463225
14303034d03a7b
15162984b587c8
hexb1b1a39ad1d

12211032010013 has 12 divisors (see below), whose sum is σ = 12972619065120. Its totient is φ = 11491816039872.

The previous prime is 12211032009977. The next prime is 12211032010057. The reversal of 12211032010013 is 31001023011221.

It is not a de Polignac number, because 12211032010013 - 228 = 12210763574557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12211032009973 and 12211032010000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12211032010063) 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 11 ways as a sum of consecutive naturals, for example, 1938920 + ... + 5308622.

It is an arithmetic number, because the mean of its divisors is an integer number (1081051588760).

Almost surely, 212211032010013 is an apocalyptic number.

It is an amenable number.

12211032010013 is a deficient number, since it is larger than the sum of its proper divisors (761587055107).

12211032010013 is a wasteful number, since it uses less digits than its factorization.

12211032010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382276 (or 3382259 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 12211032010013 its reverse (31001023011221), we get a palindrome (43212055021234).

The spelling of 12211032010013 in words is "twelve trillion, two hundred eleven billion, thirty-two million, ten thousand, thirteen".

Divisors: 1 17 289 12539 213163 3369703 3623771 57284951 973844167 42252705917 718296000589 12211032010013