Base | Representation |
---|---|
bin | 1010000000111011010110… |
… | …11100101100010000010001 |
3 | 2212222021220000101012000202 |
4 | 11000131223130230100101 |
5 | 10341302230100310001 |
6 | 114500451343024545 |
7 | 4432021111352000 |
oct | 500355334542021 |
9 | 85867800335022 |
10 | 22022100010001 |
11 | 702057a3824a3 |
12 | 257804489b155 |
13 | c398a13152b0 |
14 | 561c37c82c37 |
15 | 282ca314996b |
hex | 14076b72c411 |
22022100010001 has 16 divisors (see below), whose sum is σ = 27657268464000. Its totient is φ = 17424079125264.
The previous prime is 22022100009961. The next prime is 22022100010019. The reversal of 22022100010001 is 10001000122022.
It is a happy number.
It is not a de Polignac number, because 22022100010001 - 210 = 22022100008977 is a prime.
It is not an unprimeable number, because it can be changed into a prime (22022100010081) 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 15 ways as a sum of consecutive naturals, for example, 2469394511 + ... + 2469403428.
It is an arithmetic number, because the mean of its divisors is an integer number (1728579279000).
Almost surely, 222022100010001 is an apocalyptic number.
It is an amenable number.
22022100010001 is a deficient number, since it is larger than the sum of its proper divisors (5635168453999).
22022100010001 is an equidigital number, since it uses as much as digits as its factorization.
22022100010001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4938797973 (or 4938797959 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 22022100010001 its reverse (10001000122022), we get a palindrome (32023100132023).
It can be divided in two parts, 22022 and 100010001, that multiplied together give a palindrome (2202420242022).
The spelling of 22022100010001 in words is "twenty-two trillion, twenty-two billion, one hundred million, ten thousand, one".
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