| Base | Representation |
|---|---|
| bin | 10010110110101011… |
| … | …00101110110100000 |
| 3 | 222010102221012102100 |
| 4 | 21123111211312200 |
| 5 | 131212303240222 |
| 6 | 4352232250400 |
| 7 | 505561211565 |
| oct | 113325456640 |
| 9 | 28112835370 |
| 10 | 10122321312 |
| 11 | 4324871904 |
| 12 | 1b65b40a00 |
| 13 | c54147b4c |
| 14 | 6c04c486c |
| 15 | 3e39c14ac |
| hex | 25b565da0 |
10122321312 has 72 divisors (see below), whose sum is σ = 29273287680. Its totient is φ = 3316913280.
The previous prime is 10122321301. The next prime is 10122321323. The reversal of 10122321312 is 21312322101.
10122321312 is a `hidden beast` number, since 10 + 1 + 22 + 321 + 312 = 666.
10122321312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10122321301) and next prime (10122321323).
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×101223213122 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 280864 + ... + 314847.
It is an arithmetic number, because the mean of its divisors is an integer number (406573440).
Almost surely, 210122321312 is an apocalyptic number.
10122321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10122321312 is an abundant number, since it is smaller than the sum of its proper divisors (19150966368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10122321312 is a wasteful number, since it uses less digits than its factorization.
10122321312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 595786 (or 595775 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 10122321312 its reverse (21312322101), we get a palindrome (31434643413).
The spelling of 10122321312 in words is "ten billion, one hundred twenty-two million, three hundred twenty-one thousand, three hundred twelve".
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