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1013012003221 = 157199175918433
BaseRepresentation
bin11101011110111000011…
…10000111100110010101
310120211202112210200021021
432233130032013212111
5113044122033100341
62053212110521141
7133121244645331
oct16573416074625
93524675720237
101013012003221
11360685959569
121443b38061b1
13746accb0b2a
143705c6187c1
151b53dc899d1
hexebdc387995

1013012003221 has 16 divisors (see below), whose sum is σ = 1025225344000. Its totient is φ = 1000877948928.

The previous prime is 1013012003207. The next prime is 1013012003251. The reversal of 1013012003221 is 1223002103101.

It is a cyclic number.

It is not a de Polignac number, because 1013012003221 - 25 = 1013012003189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013012003195 and 1013012003204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013012003251) 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 15 ways as a sum of consecutive naturals, for example, 54947221 + ... + 54965653.

It is an arithmetic number, because the mean of its divisors is an integer number (64076584000).

Almost surely, 21013012003221 is an apocalyptic number.

It is an amenable number.

1013012003221 is a deficient number, since it is larger than the sum of its proper divisors (12213340779).

1013012003221 is a wasteful number, since it uses less digits than its factorization.

1013012003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20548.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1013012003221 its reverse (1223002103101), we get a palindrome (2236014106322).

The spelling of 1013012003221 in words is "one trillion, thirteen billion, twelve million, three thousand, two hundred twenty-one".

Divisors: 1 157 199 1759 18433 31243 276163 350041 2893981 3668167 32423647 54956437 575902219 5090512579 6452305753 1013012003221