| Base | Representation |
|---|---|
| bin | 101111100010111010… |
| … | …0100010011110000000 |
| 3 | 100202112202001112000200 |
| 4 | 1133011310202132000 |
| 5 | 3133101400211112 |
| 6 | 114523332245200 |
| 7 | 10243132205526 |
| oct | 1370564423600 |
| 9 | 322482045020 |
| 10 | 102103132032 |
| 11 | 3a335613350 |
| 12 | 17956170800 |
| 13 | 9822456075 |
| 14 | 4d284c4316 |
| 15 | 29c8bbecdc |
| hex | 17c5d22780 |
102103132032 has 384 divisors, whose sum is σ = 326567704320. Its totient is φ = 30363033600.
The previous prime is 102103132031. The next prime is 102103132037. The reversal of 102103132032 is 230231301201.
It is a tau number, because it is divible by the number of its divisors (384).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 102103131996 and 102103132014.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102103132031) 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 47 ways as a sum of consecutive naturals, for example, 178814307 + ... + 178814877.
It is an arithmetic number, because the mean of its divisors is an integer number (850436730).
Almost surely, 2102103132032 is an apocalyptic number.
102103132032 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 102103132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163283852160).
102103132032 is an abundant number, since it is smaller than the sum of its proper divisors (224464572288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102103132032 is a wasteful number, since it uses less digits than its factorization.
102103132032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 842 (or 827 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102103132032 its reverse (230231301201), we get a palindrome (332334433233).
The spelling of 102103132032 in words is "one hundred two billion, one hundred three million, one hundred thirty-two thousand, thirty-two".
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