| Base | Representation |
|---|---|
| bin | 1110000110010100001010… |
| … | …11001101000000101000100 |
| 3 | 11001202212222010021202000200 |
| 4 | 13003022011121220011010 |
| 5 | 13030424240334430040 |
| 6 | 145534420330010500 |
| 7 | 6346625655053361 |
| oct | 703120531500504 |
| 9 | 131685863252020 |
| 10 | 31003312030020 |
| 11 | 9973481428140 |
| 12 | 3588796576a30 |
| 13 | 143b7a493c965 |
| 14 | 7927d5621468 |
| 15 | 38b7021bc630 |
| hex | 1c3285668144 |
31003312030020 has 576 divisors, whose sum is σ = 110246935099392. Its totient is φ = 6968553984000.
The previous prime is 31003312030001. The next prime is 31003312030021. The reversal of 31003312030020 is 2003021330013.
31003312030020 is a `hidden beast` number, since 3 + 10 + 0 + 331 + 2 + 0 + 300 + 20 = 666.
It is a super-2 number, since 2×310033120300202 (a number of 28 digits) contains 22 as substring.
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 = 31003312029975 and 31003312030002.
It is not an unprimeable number, because it can be changed into a prime (31003312030021) 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 191 ways as a sum of consecutive naturals, for example, 3410325675 + ... + 3410334765.
It is an arithmetic number, because the mean of its divisors is an integer number (191400928992).
Almost surely, 231003312030020 is an apocalyptic number.
31003312030020 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 31003312030020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55123467549696).
31003312030020 is an abundant number, since it is smaller than the sum of its proper divisors (79243623069372).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31003312030020 is a wasteful number, since it uses less digits than its factorization.
31003312030020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10632 (or 10627 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 31003312030020 its reverse (2003021330013), we get a palindrome (33006333360033).
The spelling of 31003312030020 in words is "thirty-one trillion, three billion, three hundred twelve million, thirty thousand, twenty".
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