| Base | Representation |
|---|---|
| bin | 11101010101110110… |
| … | …100010111100010010 |
| 3 | 10000022122110121011000 |
| 4 | 131111312202330102 |
| 5 | 1004010303231310 |
| 6 | 22250120202430 |
| 7 | 2163504133446 |
| oct | 352566427422 |
| 9 | 100278417130 |
| 10 | 31505133330 |
| 11 | 123a790aa80 |
| 12 | 6133009416 |
| 13 | 2c81163a38 |
| 14 | 174c2c6826 |
| 15 | c45d394c0 |
| hex | 755da2f12 |
31505133330 has 128 divisors (see below), whose sum is σ = 94128687360. Its totient is φ = 7431160320.
The previous prime is 31505133301. The next prime is 31505133427. The reversal of 31505133330 is 3333150513.
It is a happy number.
31505133330 is a `hidden beast` number, since 315 + 0 + 5 + 13 + 3 + 330 = 666.
It is a super-2 number, since 2×315051333302 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 31505133294 and 31505133303.
It is an unprimeable number.
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 63 ways as a sum of consecutive naturals, for example, 33459 + ... + 253238.
It is an arithmetic number, because the mean of its divisors is an integer number (735380370).
Almost surely, 231505133330 is an apocalyptic number.
31505133330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 31505133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47064343680).
31505133330 is an abundant number, since it is smaller than the sum of its proper divisors (62623554030).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31505133330 is a wasteful number, since it uses less digits than its factorization.
31505133330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 286761 (or 286755 counting only the distinct ones).
The product of its (nonzero) digits is 6075, while the sum is 27.
Adding to 31505133330 its reverse (3333150513), we get a palindrome (34838283843).
The spelling of 31505133330 in words is "thirty-one billion, five hundred five million, one hundred thirty-three thousand, three hundred thirty".
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