| Base | Representation |
|---|---|
| bin | 101111100011011111… |
| … | …0000010101000101100 |
| 3 | 100202121002022110010020 |
| 4 | 1133012332002220230 |
| 5 | 3133121313302200 |
| 6 | 114525301242140 |
| 7 | 10243455036324 |
| oct | 1370676025054 |
| 9 | 322532273106 |
| 10 | 102122400300 |
| 11 | 3a345483938 |
| 12 | 17960703350 |
| 13 | 98264413cb |
| 14 | 4d2ac9c284 |
| 15 | 29ca728ea0 |
| hex | 17c6f82a2c |
102122400300 has 144 divisors (see below), whose sum is σ = 299950801920. Its totient is φ = 26822428160.
The previous prime is 102122400283. The next prime is 102122400307. The reversal of 102122400300 is 3004221201.
It is a super-3 number, since 3×1021224003003 (a number of 34 digits) contains 333 as substring.
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 102122400300.
It is not an unprimeable number, because it can be changed into a prime (102122400307) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 7014829 + ... + 7029371.
It is an arithmetic number, because the mean of its divisors is an integer number (2082991680).
Almost surely, 2102122400300 is an apocalyptic number.
102122400300 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 102122400300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149975400960).
102122400300 is an abundant number, since it is smaller than the sum of its proper divisors (197828401620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102122400300 is a wasteful number, since it uses less digits than its factorization.
102122400300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14912 (or 14905 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 102122400300 its reverse (3004221201), we get a palindrome (105126621501).
The spelling of 102122400300 in words is "one hundred two billion, one hundred twenty-two million, four hundred thousand, three hundred".
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