Base | Representation |
---|---|
bin | 111000110100110001… |
… | …1111011110100100000 |
3 | 102122222111011222122222 |
4 | 1301221203323310200 |
5 | 3444404202041112 |
6 | 132020532450212 |
7 | 11550006560243 |
oct | 1615143736440 |
9 | 378874158588 |
10 | 122030112032 |
11 | 478308a9364 |
12 | 1b797779968 |
13 | b6799756aa |
14 | 5c98bdd25a |
15 | 3293315372 |
hex | 1c698fbd20 |
122030112032 has 96 divisors (see below), whose sum is σ = 252291421872. Its totient is φ = 58038349824.
The previous prime is 122030111999. The next prime is 122030112047. The reversal of 122030112032 is 230211030221.
It can be written as a sum of positive squares in 8 ways, for example, as 94006012816 + 28024099216 = 306604^2 + 167404^2 .
It is a self number, because there is not a number n which added to its sum of digits gives 122030112032.
It is an unprimeable number.
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, 18383018 + ... + 18389654.
Almost surely, 2122030112032 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122030112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126145710936).
122030112032 is an abundant number, since it is smaller than the sum of its proper divisors (130261309840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122030112032 is a wasteful number, since it uses less digits than its factorization.
122030112032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7030 (or 7022 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 17.
Adding to 122030112032 its reverse (230211030221), we get a palindrome (352241142253).
The spelling of 122030112032 in words is "one hundred twenty-two billion, thirty million, one hundred twelve thousand, thirty-two".
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