| Base | Representation |
|---|---|
| bin | 11101000100110111… |
| … | …010100011001010100 |
| 3 | 2222120210011120210000 |
| 4 | 131010313110121110 |
| 5 | 1002414322420340 |
| 6 | 22201535331300 |
| 7 | 2153443445256 |
| oct | 350467243124 |
| 9 | 88523146700 |
| 10 | 31220123220 |
| 11 | 12270a44730 |
| 12 | 6073680b30 |
| 13 | 2c370b3ac0 |
| 14 | 17224d5cd6 |
| 15 | c2acdbd30 |
| hex | 744dd4654 |
31220123220 has 960 divisors, whose sum is σ = 124787900160. Its totient is φ = 6419865600.
The previous prime is 31220123197. The next prime is 31220123243. The reversal of 31220123220 is 2232102213.
31220123220 is a `hidden beast` number, since 312 + 20 + 12 + 322 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (31220123197) and next prime (31220123243).
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 = 31220123193 and 31220123202.
It is a congruent number.
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 319 ways as a sum of consecutive naturals, for example, 180463054 + ... + 180463226.
It is an arithmetic number, because the mean of its divisors is an integer number (129987396).
Almost surely, 231220123220 is an apocalyptic number.
31220123220 is a gapful number since it is divisible by the number (30) 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 31220123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62393950080).
31220123220 is an abundant number, since it is smaller than the sum of its proper divisors (93567776940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31220123220 is a wasteful number, since it uses less digits than its factorization.
31220123220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 278 (or 267 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 31220123220 its reverse (2232102213), we get a palindrome (33452225433).
The spelling of 31220123220 in words is "thirty-one billion, two hundred twenty million, one hundred twenty-three thousand, two hundred twenty".
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