| Base | Representation |
|---|---|
| bin | 10011000100110101… |
| … | …10110110011111100 |
| 3 | 222102201111220210000 |
| 4 | 21202122312303330 |
| 5 | 131433213021022 |
| 6 | 4412115114300 |
| 7 | 511533161613 |
| oct | 114232666374 |
| 9 | 28381456700 |
| 10 | 10241142012 |
| 11 | 4385948632 |
| 12 | 1b998a2990 |
| 13 | c7294b05a |
| 14 | 6d21b487a |
| 15 | 3ee1426ac |
| hex | 2626b6cfc |
10241142012 has 120 divisors (see below), whose sum is σ = 28900317600. Its totient is φ = 3152628864.
The previous prime is 10241141971. The next prime is 10241142019. The reversal of 10241142012 is 21024114201.
10241142012 is a `hidden beast` number, since 1 + 0 + 241 + 1 + 420 + 1 + 2 = 666.
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 (10241142019) 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 39 ways as a sum of consecutive naturals, for example, 192414 + ... + 239802.
It is an arithmetic number, because the mean of its divisors is an integer number (240835980).
Almost surely, 210241142012 is an apocalyptic number.
10241142012 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 10241142012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450158800).
10241142012 is an abundant number, since it is smaller than the sum of its proper divisors (18659175588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10241142012 is a wasteful number, since it uses less digits than its factorization.
10241142012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47457 (or 47446 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 10241142012 its reverse (21024114201), we get a palindrome (31265256213).
It can be divided in two parts, 1024114201 and 2, that multiplied together give a palindrome (2048228402).
The spelling of 10241142012 in words is "ten billion, two hundred forty-one million, one hundred forty-two thousand, twelve".
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