Base | Representation |
---|---|
bin | 111001000000101101… |
… | …0010001010111100000 |
3 | 102201000101002012010020 |
4 | 1302001122101113200 |
5 | 4001214114411112 |
6 | 132124344433440 |
7 | 11562635541663 |
oct | 1620132212740 |
9 | 381011065106 |
10 | 122430232032 |
11 | 47a16746449 |
12 | 1b889778880 |
13 | b7118297a4 |
14 | 5cd5dd56da |
15 | 32b84ee48c |
hex | 1c816915e0 |
122430232032 has 96 divisors (see below), whose sum is σ = 329226291072. Its totient is φ = 39825037824.
The previous prime is 122430232021. The next prime is 122430232039. The reversal of 122430232032 is 230232034221.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 122430231993 and 122430232011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122430232039) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599278 + ... + 777170.
It is an arithmetic number, because the mean of its divisors is an integer number (3429440532).
Almost surely, 2122430232032 is an apocalyptic number.
122430232032 is a gapful number since it is divisible by the number (12) 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 122430232032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164613145536).
122430232032 is an abundant number, since it is smaller than the sum of its proper divisors (206796059040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122430232032 is a wasteful number, since it uses less digits than its factorization.
122430232032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 178080 (or 178072 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 122430232032 its reverse (230232034221), we get a palindrome (352662266253).
The spelling of 122430232032 in words is "one hundred twenty-two billion, four hundred thirty million, two hundred thirty-two thousand, thirty-two".
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