| Base | Representation |
|---|---|
| bin | 110000000111110101… |
| … | …1111110001001100100 |
| 3 | 100212202002221212020000 |
| 4 | 1200033223332021210 |
| 5 | 3143121123300400 |
| 6 | 115250322141300 |
| 7 | 10315630623132 |
| oct | 1401753761144 |
| 9 | 325662855200 |
| 10 | 103342400100 |
| 11 | 3a9110aa835 |
| 12 | 180411b1830 |
| 13 | 998c118b94 |
| 14 | 5004d16752 |
| 15 | 2a4c8b5600 |
| hex | 180fafe264 |
103342400100 has 180 divisors, whose sum is σ = 335410383924. Its totient is φ = 27523825920.
The previous prime is 103342400099. The next prime is 103342400101. The reversal of 103342400100 is 1004243301.
It is an interprime number because it is at equal distance from previous prime (103342400099) and next prime (103342400101).
It can be written as a sum of positive squares in 6 ways, for example, as 27566625024 + 75775775076 = 166032^2 + 275274^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (103342400101) 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 59 ways as a sum of consecutive naturals, for example, 6901822 + ... + 6916778.
Almost surely, 2103342400100 is an apocalyptic number.
103342400100 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 103342400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167705191962).
103342400100 is an abundant number, since it is smaller than the sum of its proper divisors (232067983824).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103342400100 is a wasteful number, since it uses less digits than its factorization.
103342400100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 15836 (or 15820 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 103342400100 its reverse (1004243301), we get a palindrome (104346643401).
The spelling of 103342400100 in words is "one hundred three billion, three hundred forty-two million, four hundred thousand, one hundred".
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