| Base | Representation |
|---|---|
| bin | 1001000101010101100… |
| … | …10111010110010100000 |
| 3 | 1002211121000002020012000 |
| 4 | 10202222302322302200 |
| 5 | 20103141344320112 |
| 6 | 355213405004000 |
| 7 | 31356130514514 |
| oct | 4425262726240 |
| 9 | 1084530066160 |
| 10 | 312103120032 |
| 11 | 1103a9090540 |
| 12 | 505a2853600 |
| 13 | 2357b45a0b2 |
| 14 | 1116a724144 |
| 15 | 81b9eed7dc |
| hex | 48aacbaca0 |
312103120032 has 384 divisors, whose sum is σ = 1010014064640. Its totient is φ = 92969856000.
The previous prime is 312103120031. The next prime is 312103120081. The reversal of 312103120032 is 230021301213.
312103120032 is a `hidden beast` number, since 312 + 10 + 312 + 0 + 0 + 32 = 666.
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 = 312103119987 and 312103120014.
It is not an unprimeable number, because it can be changed into a prime (312103120031) 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 63 ways as a sum of consecutive naturals, for example, 425788338 + ... + 425789070.
It is an arithmetic number, because the mean of its divisors is an integer number (2630244960).
Almost surely, 2312103120032 is an apocalyptic number.
312103120032 is a gapful number since it is divisible by the number (32) 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 312103120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505007032320).
312103120032 is an abundant number, since it is smaller than the sum of its proper divisors (697910944608).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
312103120032 is a wasteful number, since it uses less digits than its factorization.
312103120032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 312103120032 its reverse (230021301213), we get a palindrome (542124421245).
The spelling of 312103120032 in words is "three hundred twelve billion, one hundred three million, one hundred twenty thousand, thirty-two".
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