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1014434344101 = 31729871954741
BaseRepresentation
bin11101100001100001111…
…11111010110010100101
310120222102200012002011010
432300300333322302211
5113110030143002401
62054005200332433
7133201425436623
oct16606077726245
93528380162133
101014434344101
113612458172a2
12144730014119
1374878882359
14371554a4513
151b5c3a93ed6
hexec30ffaca5

1014434344101 has 8 divisors (see below), whose sum is σ = 1352587636384. Its totient is φ = 676285307280.

The previous prime is 1014434344087. The next prime is 1014434344117.

1014434344101 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 1014434344101 - 213 = 1014434335909 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 (1014434344171) 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, 458410 + ... + 1496331.

It is an arithmetic number, because the mean of its divisors is an integer number (169073454548).

Almost surely, 21014434344101 is an apocalyptic number.

It is an amenable number.

1014434344101 is a deficient number, since it is larger than the sum of its proper divisors (338153292283).

1014434344101 is a wasteful number, since it uses less digits than its factorization.

1014434344101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127731.

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 1014434344101 in words is "one trillion, fourteen billion, four hundred thirty-four million, three hundred forty-four thousand, one hundred one".

Divisors: 1 3 172987 518961 1954741 5864223 338144781367 1014434344101