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1014121013113 = 13230933784889
BaseRepresentation
bin11101100000111100101…
…00101001111101111001
310120221121211121012211201
432300132110221331321
5113103404434404423
62053514124454201
7133160602245325
oct16603624517571
93527554535751
101014121013113
113610a496806a
121446630aa361
13748289977c0
1437125a20985
151b5a63002ad
hexec1e529f79

1014121013113 has 8 divisors (see below), whose sum is σ = 1092603342600. Its totient is φ = 935706258048.

The previous prime is 1014121013111. The next prime is 1014121013141. The reversal of 1014121013113 is 3113101214101.

It can be written as a sum of positive squares in 4 ways, for example, as 287685267769 + 726435745344 = 536363^2 + 852312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1014121013113 - 21 = 1014121013111 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1014121013111) 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 7 ways as a sum of consecutive naturals, for example, 16862428 + ... + 16922461.

It is an arithmetic number, because the mean of its divisors is an integer number (136575417825).

Almost surely, 21014121013113 is an apocalyptic number.

1014121013113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1014121013113 is a deficient number, since it is larger than the sum of its proper divisors (78482329487).

1014121013113 is a wasteful number, since it uses less digits than its factorization.

1014121013113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33787211.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1014121013113 its reverse (3113101214101), we get a palindrome (4127222227214).

The spelling of 1014121013113 in words is "one trillion, fourteen billion, one hundred twenty-one million, thirteen thousand, one hundred thirteen".

Divisors: 1 13 2309 30017 33784889 439203557 78009308701 1014121013113