Base | Representation |
---|---|
bin | 101111100000011111… |
… | …1111000110110011101 |
3 | 100202100002210211020200 |
4 | 1133000333320312131 |
5 | 3132420142034323 |
6 | 114511322134113 |
7 | 10241130400113 |
oct | 1370077706635 |
9 | 322302724220 |
10 | 102022221213 |
11 | 3a2a397a900 |
12 | 17933051339 |
13 | 980b767243 |
14 | 4d1b861ab3 |
15 | 29c1a3b443 |
hex | 17c0ff8d9d |
102022221213 has 18 divisors (see below), whose sum is σ = 161980185822. Its totient is φ = 61831648560.
The previous prime is 102022221209. The next prime is 102022221239. The reversal of 102022221213 is 312122220201.
It can be written as a sum of positive squares in only one way, i.e., 100069730244 + 1952490969 = 316338^2 + 44187^2 .
It is not a de Polignac number, because 102022221213 - 22 = 102022221209 is a prime.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102022221253) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46841070 + ... + 46843247.
Almost surely, 2102022221213 is an apocalyptic number.
It is an amenable number.
102022221213 is a deficient number, since it is larger than the sum of its proper divisors (59957964609).
102022221213 is a wasteful number, since it uses less digits than its factorization.
102022221213 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93684345 (or 93684331 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 102022221213 its reverse (312122220201), we get a palindrome (414144441414).
The spelling of 102022221213 in words is "one hundred two billion, twenty-two million, two hundred twenty-one thousand, two hundred thirteen".
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