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122104232300 = 225217151475669
BaseRepresentation
bin111000110110111111…
…0101011100101101100
3102200011122122200120002
41301231332223211230
54000032140413200
6132032141243432
711551566564311
oct1615576534554
9380148580502
10122104232300
1147869723a86
121b7b8563578
13b68c12773b
145ca49b4d08
153299aa6bd5
hex1c6dfab96c

122104232300 has 72 divisors (see below), whose sum is σ = 282410987040. Its totient is φ = 45664128000.

The previous prime is 122104232297. The next prime is 122104232309. The reversal of 122104232300 is 3232401221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (122104232309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18866 + ... + 494534.

It is an arithmetic number, because the mean of its divisors is an integer number (3922374820).

Almost surely, 2122104232300 is an apocalyptic number.

122104232300 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 122104232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141205493520).

122104232300 is an abundant number, since it is smaller than the sum of its proper divisors (160306754740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122104232300 is a wasteful number, since it uses less digits than its factorization.

122104232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475851 (or 475844 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 122104232300 its reverse (3232401221), we get a palindrome (125336633521).

The spelling of 122104232300 in words is "one hundred twenty-two billion, one hundred four million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 151 170 302 340 425 604 755 850 1510 1700 2567 3020 3775 5134 7550 10268 12835 15100 25670 51340 64175 128350 256700 475669 951338 1902676 2378345 4756690 8086373 9513380 11891725 16172746 23783450 32345492 40431865 47566900 71826019 80863730 143652038 161727460 202159325 287304076 359130095 404318650 718260190 808637300 1221042323 1436520380 1795650475 2442084646 3591300950 4884169292 6105211615 7182601900 12210423230 24420846460 30526058075 61052116150 122104232300