Base | Representation |
---|---|
bin | 11101001000101101110… |
… | …11100110000010001001 |
3 | 10112201001020001000021000 |
4 | 32210112323212002021 |
5 | 112400234144213001 |
6 | 2043523214405213 |
7 | 132220330312005 |
oct | 16442673460211 |
9 | 3481036030230 |
10 | 1001112101001 |
11 | 356629755931 |
12 | 142032500809 |
13 | 735347c547c |
14 | 36650015705 |
15 | 1b0941dca86 |
hex | e916ee6089 |
1001112101001 has 64 divisors (see below), whose sum is σ = 1631437056000. Its totient is φ = 603910676160.
The previous prime is 1001112100993. The next prime is 1001112101029. The reversal of 1001112101001 is 1001012111001.
It is not a de Polignac number, because 1001112101001 - 23 = 1001112100993 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1001112101501) 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 63 ways as a sum of consecutive naturals, for example, 8091715 + ... + 8214503.
It is an arithmetic number, because the mean of its divisors is an integer number (25491204000).
Almost surely, 21001112101001 is an apocalyptic number.
It is an amenable number.
1001112101001 is a deficient number, since it is larger than the sum of its proper divisors (630324954999).
1001112101001 is a wasteful number, since it uses less digits than its factorization.
1001112101001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123531 (or 123525 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 1001112101001 its reverse (1001012111001), we get a palindrome (2002124212002).
The spelling of 1001112101001 in words is "one trillion, one billion, one hundred twelve million, one hundred one thousand, one".
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