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1000022101001 = 71112987300013
BaseRepresentation
bin11101000110101011111…
…01100100110000001001
310112121020021000021100122
432203111331210300021
5112341021124213001
62043223120113025
7132151323415310
oct16432575446011
93477207007318
101000022101001
1135611a450790
12141989465775
13733bca36361
143658935b277
151b02d67eb1b
hexe8d5f64c09

1000022101001 has 8 divisors (see below), whose sum is σ = 1246780801344. Its totient is φ = 779238000720.

The previous prime is 1000022100977. The next prime is 1000022101019. The reversal of 1000022101001 is 1001012200001.

1000022101001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 1000022101001 - 214 = 1000022084617 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000022101001.

It is not an unprimeable number, because it can be changed into a prime (1000022101301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6493649930 + ... + 6493650083.

It is an arithmetic number, because the mean of its divisors is an integer number (155847600168).

Almost surely, 21000022101001 is an apocalyptic number.

1000022101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000022101001 is a deficient number, since it is larger than the sum of its proper divisors (246758700343).

1000022101001 is a wasteful number, since it uses less digits than its factorization.

1000022101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12987300031.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1000022101001 its reverse (1001012200001), we get a palindrome (2001034301002).

The spelling of 1000022101001 in words is "one trillion, twenty-two million, one hundred one thousand, one".

Divisors: 1 7 11 77 12987300013 90911100091 142860300143 1000022101001