Base | Representation |
---|---|
bin | 111001000010010000… |
… | …0100101010101100000 |
3 | 102201010222220100220220 |
4 | 1302010200211111200 |
5 | 4001320421441321 |
6 | 132133443003040 |
7 | 11564136451362 |
oct | 1620440452540 |
9 | 381128810826 |
10 | 122482218336 |
11 | 47a43023535 |
12 | 1b8a3069480 |
13 | b71c52c00a |
14 | 5cdcc88d32 |
15 | 32bcd6c9c6 |
hex | 1c84825560 |
122482218336 has 96 divisors (see below), whose sum is σ = 338682072960. Its totient is φ = 38650669056.
The previous prime is 122482218293. The next prime is 122482218379. The reversal of 122482218336 is 633812284221.
It is an interprime number because it is at equal distance from previous prime (122482218293) and next prime (122482218379).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-3 number, since 3×1224822183363 (a number of 34 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2579320 + ... + 2626376.
It is an arithmetic number, because the mean of its divisors is an integer number (3527938260).
Almost surely, 2122482218336 is an apocalyptic number.
122482218336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122482218336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169341036480).
122482218336 is an abundant number, since it is smaller than the sum of its proper divisors (216199854624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122482218336 is a wasteful number, since it uses less digits than its factorization.
122482218336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 48516 (or 48508 counting only the distinct ones).
The product of its digits is 221184, while the sum is 42.
The spelling of 122482218336 in words is "one hundred twenty-two billion, four hundred eighty-two million, two hundred eighteen thousand, three hundred thirty-six".
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