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20121103113013 = 7233715432189063
BaseRepresentation
bin1001001001100110011110…
…01101000001101100110101
32122020120002021100001201201
410210303033031001230311
510114131004344104023
6110443301314052501
74144462456344130
oct444631715015465
978216067301651
1020121103113013
116458348173301
12230b73087a131
13b2c547b9b9a6
144d7c1bcb3217
1524d5e1ad9bad
hex124ccf341b35

20121103113013 has 32 divisors (see below), whose sum is σ = 24659858497536. Its totient is φ = 16040535686208.

The previous prime is 20121103112947. The next prime is 20121103113037. The reversal of 20121103113013 is 31031130112102.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20121103113013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121103113053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8097120 + ... + 10286182.

It is an arithmetic number, because the mean of its divisors is an integer number (770620578048).

Almost surely, 220121103113013 is an apocalyptic number.

20121103113013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

20121103113013 is a deficient number, since it is larger than the sum of its proper divisors (4538755384523).

20121103113013 is a wasteful number, since it uses less digits than its factorization.

20121103113013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190673.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 20121103113013 its reverse (31031130112102), we get a palindrome (51152233225115).

Subtracting 20121103113013 from its reverse (31031130112102), we obtain a square (10910026999089 = 33030332).

The spelling of 20121103113013 in words is "twenty trillion, one hundred twenty-one billion, one hundred three million, one hundred thirteen thousand, thirteen".

Divisors: 1 7 23 37 161 259 851 1543 5957 10801 35489 57091 248423 399637 1313093 2189063 9191651 15323441 50348449 80995331 352439143 566967317 1862892613 3377724209 13040248291 23644069463 77687656807 124975795733 543813597649 874830570131 2874443301859 20121103113013