Base | Representation |
---|---|
bin | 1110100011100… |
… | …10011100110000 |
3 | 22111202111122120 |
4 | 13101302130300 |
5 | 222224303400 |
6 | 20041034240 |
7 | 3011602113 |
oct | 721623460 |
9 | 274674576 |
10 | 122103600 |
11 | 62a19273 |
12 | 34a85980 |
13 | 1c3b2568 |
14 | 1230657a |
15 | aabdca0 |
hex | 7472730 |
122103600 has 120 divisors (see below), whose sum is σ = 395547600. Its totient is φ = 32194560.
The previous prime is 122103581. The next prime is 122103607. The reversal of 122103600 is 6301221.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 122103600.
It is not an unprimeable number, because it can be changed into a prime (122103607) 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 23 ways as a sum of consecutive naturals, for example, 115876 + ... + 116924.
It is an arithmetic number, because the mean of its divisors is an integer number (3296230).
Almost surely, 2122103600 is an apocalyptic number.
122103600 is a gapful number since it is divisible by the number (10) 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 122103600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197773800).
122103600 is an abundant number, since it is smaller than the sum of its proper divisors (273444000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122103600 is a wasteful number, since it uses less digits than its factorization.
122103600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1167 (or 1156 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 15.
The square root of 122103600 is about 11050.0497736436. The cubic root of 122103600 is about 496.1079152981.
Adding to 122103600 its reverse (6301221), we get a palindrome (128404821).
The spelling of 122103600 in words is "one hundred twenty-two million, one hundred three thousand, six hundred".
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