| Base | Representation |
|---|---|
| bin | 110000000011101010… |
| … | …0111001010010000000 |
| 3 | 100212101100000120002200 |
| 4 | 1200013110321102000 |
| 5 | 3142324221224440 |
| 6 | 115224351513200 |
| 7 | 10312305441402 |
| oct | 1400724712200 |
| 9 | 325340016080 |
| 10 | 103202133120 |
| 11 | 3a849a06109 |
| 12 | 18002228800 |
| 13 | 9969047178 |
| 14 | 4dd0442b72 |
| 15 | 2a40409c30 |
| hex | 1807539480 |
103202133120 has 192 divisors, whose sum is σ = 356587920000. Its totient is φ = 27503732736.
The previous prime is 103202133109. The next prime is 103202133143. The reversal of 103202133120 is 21331202301.
103202133120 is a `hidden beast` number, since 10 + 320 + 2 + 1 + 331 + 2 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (192).
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 = 103202133093 and 103202133102.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11509759 + ... + 11518721.
It is an arithmetic number, because the mean of its divisors is an integer number (1857228750).
Almost surely, 2103202133120 is an apocalyptic number.
103202133120 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 103202133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178293960000).
103202133120 is an abundant number, since it is smaller than the sum of its proper divisors (253385786880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103202133120 is a wasteful number, since it uses less digits than its factorization.
103202133120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10987 (or 10972 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 103202133120 its reverse (21331202301), we get a palindrome (124533335421).
The spelling of 103202133120 in words is "one hundred three billion, two hundred two million, one hundred thirty-three thousand, one hundred twenty".
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