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1001110100001 = 311231318985639
BaseRepresentation
bin11101001000101101100…
…11111101100000100001
310112201001002021100101220
432210112303331200201
5112400233141200001
62043523103445253
7132220304306124
oct16442663754041
93481032240356
101001110100001
11356628609510
121420318b6829
137353427474b
143664da543bb
151b093e44c36
hexe916cfd821

1001110100001 has 16 divisors (see below), whose sum is σ = 1519471457280. Its totient is φ = 580353680720.

The previous prime is 1001110099991. The next prime is 1001110100009. The reversal of 1001110100001 is 1000010111001.

Adding to 1001110100001 its reverse (1000010111001), we get a palindrome (2001120211002).

1001110100001 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001110100001 - 213 = 1001110091809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001110100009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659492061 + ... + 659493578.

It is an arithmetic number, because the mean of its divisors is an integer number (94966966080).

Almost surely, 21001110100001 is an apocalyptic number.

1001110100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001110100001 is a deficient number, since it is larger than the sum of its proper divisors (518361357279).

1001110100001 is a wasteful number, since it uses less digits than its factorization.

1001110100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318985676.

The product of its (nonzero) digits is 1, while the sum is 6.

The spelling of 1001110100001 in words is "one trillion, one billion, one hundred ten million, one hundred thousand, one".

Divisors: 1 3 11 23 33 69 253 759 1318985639 3956956917 14508842029 30336669697 43526526087 91010009091 333703366667 1001110100001