| Base | Representation |
|---|---|
| bin | 10011000111001101… |
| … | …00111100000000000 |
| 3 | 222111002212220220000 |
| 4 | 21203212213200000 |
| 5 | 132003304032430 |
| 6 | 4414104520000 |
| 7 | 512164036266 |
| oct | 114346474000 |
| 9 | 28432786800 |
| 10 | 10261002240 |
| 11 | 4396082945 |
| 12 | 1ba4480000 |
| 13 | c76ab2978 |
| 14 | 6d4aa4436 |
| 15 | 400c66e60 |
| hex | 2639a7800 |
10261002240 has 480 divisors, whose sum is σ = 37459422000. Its totient is φ = 2686058496.
The previous prime is 10261002233. The next prime is 10261002247. The reversal of 10261002240 is 4220016201.
10261002240 is a `hidden beast` number, since 10 + 2 + 610 + 0 + 2 + 2 + 40 = 666.
It is an interprime number because it is at equal distance from previous prime (10261002233) and next prime (10261002247).
It is a tau number, because it is divible by the number of its divisors (480).
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 (10261002247) by changing a digit.
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 39 ways as a sum of consecutive naturals, for example, 73820091 + ... + 73820229.
Almost surely, 210261002240 is an apocalyptic number.
10261002240 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 10261002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729711000).
10261002240 is an abundant number, since it is smaller than the sum of its proper divisors (27198419760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10261002240 is an equidigital number, since it uses as much as digits as its factorization.
10261002240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 267 (or 238 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 10261002240 its reverse (4220016201), we get a palindrome (14481018441).
The spelling of 10261002240 in words is "ten billion, two hundred sixty-one million, two thousand, two hundred forty".
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