| Base | Representation |
|---|---|
| bin | 1011111110110… |
| … | …00111011010100 |
| 3 | 21000010002112200 |
| 4 | 11333120323110 |
| 5 | 201212101002 |
| 6 | 13550044500 |
| 7 | 2330156253 |
| oct | 577307324 |
| 9 | 230102480 |
| 10 | 100503252 |
| 11 | 51805643 |
| 12 | 297a9730 |
| 13 | 17a8b8a5 |
| 14 | d4c279a |
| 15 | 8c53b1c |
| hex | 5fd8ed4 |
100503252 has 72 divisors (see below), whose sum is σ = 271927656. Its totient is φ = 31186944.
The previous prime is 100503239. The next prime is 100503253. The reversal of 100503252 is 252305001.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 81108036 = 4404^2 + 9006^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100503253) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58518 + ... + 60210.
It is an arithmetic number, because the mean of its divisors is an integer number (3776773).
Almost surely, 2100503252 is an apocalyptic number.
100503252 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 100503252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135963828).
100503252 is an abundant number, since it is smaller than the sum of its proper divisors (171424404).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100503252 is a wasteful number, since it uses less digits than its factorization.
100503252 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1817 (or 1812 counting only the distinct ones).
The product of its (nonzero) digits is 300, while the sum is 18.
The square root of 100503252 is about 10025.1310215877. The cubic root of 100503252 is about 464.9362104657.
Adding to 100503252 its reverse (252305001), we get a palindrome (352808253).
The spelling of 100503252 in words is "one hundred million, five hundred three thousand, two hundred fifty-two".
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