Base | Representation |
---|---|
bin | 10111001111100010111000… |
… | …001100110110111010110110 |
3 | 111101221110020101010112201200 |
4 | 113033202320030312322312 |
5 | 101344311320334220342 |
6 | 1001224424035233330 |
7 | 30350250652420515 |
oct | 2717427014667266 |
9 | 441843211115650 |
10 | 102223312023222 |
11 | 2a631732754255 |
12 | b56b690448846 |
13 | 4506803605b60 |
14 | 1b358c589467c |
15 | bc40e261794c |
hex | 5cf8b8336eb6 |
102223312023222 has 192 divisors, whose sum is σ = 252827837982720. Its totient is φ = 29570786380800.
The previous prime is 102223312023221. The next prime is 102223312023227. The reversal of 102223312023222 is 222320213322201.
102223312023222 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 331 + 2 + 0 + 2 + 322 + 2 = 666.
It is a super-2 number, since 2×1022233120232222 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102223312023221) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24987363397 + ... + 24987367487.
It is an arithmetic number, because the mean of its divisors is an integer number (1316811656160).
Almost surely, 2102223312023222 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 102223312023222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126413918991360).
102223312023222 is an abundant number, since it is smaller than the sum of its proper divisors (150604525959498).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102223312023222 is a wasteful number, since it uses less digits than its factorization.
102223312023222 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9459 (or 9456 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 102223312023222 its reverse (222320213322201), we get a palindrome (324543525345423).
The spelling of 102223312023222 in words is "one hundred two trillion, two hundred twenty-three billion, three hundred twelve million, twenty-three thousand, two hundred twenty-two".
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