Base | Representation |
---|---|
bin | 1110100011110… |
… | …01111000010000 |
3 | 22111211001101200 |
4 | 13101321320100 |
5 | 222231242112 |
6 | 20041431200 |
7 | 3012056616 |
oct | 721717020 |
9 | 274731350 |
10 | 122134032 |
11 | 62a3a119 |
12 | 34a9b500 |
13 | 1c3c3377 |
14 | 123136b6 |
15 | aac7cdc |
hex | 7479e10 |
122134032 has 60 divisors (see below), whose sum is σ = 346934640. Its totient is φ = 40100544.
The previous prime is 122134031. The next prime is 122134049. The reversal of 122134032 is 230431221.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 122133996 and 122134014.
It is not an unprimeable number, because it can be changed into a prime (122134031) by changing a digit.
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 11 ways as a sum of consecutive naturals, for example, 3319 + ... + 15977.
It is an arithmetic number, because the mean of its divisors is an integer number (5782244).
Almost surely, 2122134032 is an apocalyptic number.
122134032 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 122134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173467320).
122134032 is an abundant number, since it is smaller than the sum of its proper divisors (224800608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122134032 is a wasteful number, since it uses less digits than its factorization.
122134032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12740 (or 12731 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 122134032 is about 11051.4266952281. The cubic root of 122134032 is about 496.1491270287.
Adding to 122134032 its reverse (230431221), we get a palindrome (352565253).
It can be divided in two parts, 1221 and 34032, that added together give a palindrome (35253).
The spelling of 122134032 in words is "one hundred twenty-two million, one hundred thirty-four thousand, thirty-two".
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