Base | Representation |
---|---|
bin | 101111100000011111… |
… | …1011011010000100001 |
3 | 100202100002120122222100 |
4 | 1133000333123100201 |
5 | 3132420124200001 |
6 | 114511315401013 |
7 | 10241126353533 |
oct | 1370077332041 |
9 | 322302518870 |
10 | 102022100001 |
11 | 3a2a38a7828 |
12 | 17932bb3169 |
13 | 980b724013 |
14 | 4d1b82d853 |
15 | 29c1a15586 |
hex | 17c0fdb421 |
102022100001 has 24 divisors (see below), whose sum is σ = 148362556160. Its totient is φ = 67554785376.
The previous prime is 102022099987. The next prime is 102022100003. The reversal of 102022100001 is 100001220201.
It is not a de Polignac number, because 102022100001 - 25 = 102022099969 is a prime.
It is a super-2 number, since 2×1020221000012 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (102022100003) 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 23 ways as a sum of consecutive naturals, for example, 3947760 + ... + 3973518.
Almost surely, 2102022100001 is an apocalyptic number.
It is an amenable number.
102022100001 is a deficient number, since it is larger than the sum of its proper divisors (46340456159).
102022100001 is a wasteful number, since it uses less digits than its factorization.
102022100001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28725 (or 28722 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 102022100001 its reverse (100001220201), we get a palindrome (202023320202).
The spelling of 102022100001 in words is "one hundred two billion, twenty-two million, one hundred thousand, one".
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