Base | Representation |
---|---|
bin | 1001000110101101111011… |
… | …0000010101000110111001 |
3 | 1022110001011120101120022122 |
4 | 2101223132300111012321 |
5 | 2303010022304323001 |
6 | 33142554525131025 |
7 | 2052162120400220 |
oct | 221533660250671 |
9 | 38401146346278 |
10 | 10011011011001 |
11 | 320a711802610 |
12 | 115824b3b9a75 |
13 | 57805a439950 |
14 | 26876d667cb7 |
15 | 125621959b1b |
hex | 91adec151b9 |
10011011011001 has 128 divisors (see below), whose sum is σ = 13862232179712. Its totient is φ = 6979737600000.
The previous prime is 10011011010991. The next prime is 10011011011003.
10011011011001 is nontrivially palindromic in base 10.
10011011011001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is not a de Polignac number, because 10011011011001 - 210 = 10011011009977 is a prime.
10011011011001 is a strobogrammatic number because it is the same when read upside-down.
It is a self number, because there is not a number n which added to its sum of digits gives 10011011011001.
It is not an unprimeable number, because it can be changed into a prime (10011011011003) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1011106151 + ... + 1011116051.
It is an arithmetic number, because the mean of its divisors is an integer number (108298688904).
Almost surely, 210011011011001 is an apocalyptic number.
10011011011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
10011011011001 is a deficient number, since it is larger than the sum of its proper divisors (3851221168711).
10011011011001 is a wasteful number, since it uses less digits than its factorization.
10011011011001 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10243.
The product of its (nonzero) digits is 1, while the sum is 8.
It can be divided in two parts, 1001101 and 1011001, that multiplied together give a palindrome (1012114112101).
The spelling of 10011011011001 in words is "ten trillion, eleven billion, eleven million, eleven thousand, one".
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