Base | Representation |
---|---|
bin | 1001000111011000000101… |
… | …1111111010111100011101 |
3 | 1022111010101111120101002000 |
4 | 2101312001133322330131 |
5 | 2303201213310032313 |
6 | 33152110114552513 |
7 | 2053042466461530 |
oct | 221660137727435 |
9 | 38433344511060 |
10 | 10022331330333 |
11 | 32144a0833023 |
12 | 115a48a598739 |
13 | 57914282795a |
14 | 269124cbaa17 |
15 | 125a856bd673 |
hex | 91d817faf1d |
10022331330333 has 32 divisors (see below), whose sum is σ = 16973173766400. Its totient is φ = 5725646803008.
The previous prime is 10022331330307. The next prime is 10022331330359. The reversal of 10022331330333 is 33303313322001.
10022331330333 is a `hidden beast` number, since 1 + 0 + 0 + 22 + 331 + 3 + 303 + 3 + 3 = 666.
It is an interprime number because it is at equal distance from previous prime (10022331330307) and next prime (10022331330359).
It is not a de Polignac number, because 10022331330333 - 212 = 10022331326237 is a prime.
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 = 10022331330297 and 10022331330306.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10022331330433) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5704338 + ... + 7251491.
It is an arithmetic number, because the mean of its divisors is an integer number (530411680200).
Almost surely, 210022331330333 is an apocalyptic number.
It is an amenable number.
10022331330333 is a deficient number, since it is larger than the sum of its proper divisors (6950842436067).
10022331330333 is a wasteful number, since it uses less digits than its factorization.
10022331330333 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12959938 (or 12959932 counting only the distinct ones).
The product of its (nonzero) digits is 8748, while the sum is 27.
Adding to 10022331330333 its reverse (33303313322001), we get a palindrome (43325644652334).
It can be divided in two parts, 100223 and 31330333, that added together give a triangular number (31430556 = T7928).
The spelling of 10022331330333 in words is "ten trillion, twenty-two billion, three hundred thirty-one million, three hundred thirty thousand, three hundred thirty-three".
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