Search a number
-
+
1011738371101 = 6746132756123
BaseRepresentation
bin11101011100100000100…
…11100110010000011101
310120201110210020110110021
432232100103212100131
5113034020010333401
62052441452312141
7133044551155213
oct16562023462035
93521423213407
101011738371101
11360091a30937
121440b9172651
1374539178863
1436d7b3dccb3
151b4b70572a1
hexeb904e641d

1011738371101 has 8 divisors (see below), whose sum is σ = 1029066391584. Its totient is φ = 994475863920.

The previous prime is 1011738371099. The next prime is 1011738371129.

1011738371101 is nontrivially palindromic in base 10.

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 1011738371101 - 21 = 1011738371099 is a prime.

It is a super-2 number, since 2×10117383711012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011738371191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16347175 + ... + 16408948.

It is an arithmetic number, because the mean of its divisors is an integer number (128633298948).

Almost surely, 21011738371101 is an apocalyptic number.

It is an amenable number.

1011738371101 is a deficient number, since it is larger than the sum of its proper divisors (17328020483).

1011738371101 is an equidigital number, since it uses as much as digits as its factorization.

1011738371101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32756651.

The product of its (nonzero) digits is 3528, while the sum is 34.

The spelling of 1011738371101 in words is "one trillion, eleven billion, seven hundred thirty-eight million, three hundred seventy-one thousand, one hundred one".

Divisors: 1 67 461 30887 32756123 2194660241 15100572703 1011738371101