Base | Representation |
---|---|
bin | 11101011001101101000… |
… | …10100000011100000001 |
3 | 10120120120211100122102200 |
4 | 32230312202200130001 |
5 | 113022423434024420 |
6 | 2052032212503413 |
7 | 132662333056614 |
oct | 16546642403401 |
9 | 3516524318380 |
10 | 1010232329985 |
11 | 35a4898a495a |
12 | 14395891ab69 |
13 | 7435914c978 |
14 | 36c773a617b |
15 | 1b429c17b90 |
hex | eb368a0701 |
1010232329985 has 12 divisors (see below), whose sum is σ = 1751069372052. Its totient is φ = 538790575968.
The previous prime is 1010232329983. The next prime is 1010232329999. The reversal of 1010232329985 is 5899232320101.
1010232329985 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 232 + 329 + 98 + 5 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 680085556929 + 330146773056 = 824673^2 + 574584^2 .
It is not a de Polignac number, because 1010232329985 - 21 = 1010232329983 is a prime.
It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 22449607333 = 1010232329985 / (1 + 0 + 1 + 0 + 2 + 3 + 2 + 3 + 2 + 9 + 9 + 8 + 5).
It is a self number, because there is not a number n which added to its sum of digits gives 1010232329985.
It is not an unprimeable number, because it can be changed into a prime (1010232329983) 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 11 ways as a sum of consecutive naturals, for example, 11224803622 + ... + 11224803711.
It is an arithmetic number, because the mean of its divisors is an integer number (145922447671).
Almost surely, 21010232329985 is an apocalyptic number.
1010232329985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.
It is an amenable number.
1010232329985 is a deficient number, since it is larger than the sum of its proper divisors (740837042067).
1010232329985 is a wasteful number, since it uses less digits than its factorization.
1010232329985 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 22449607344 (or 22449607341 counting only the distinct ones).
The product of its (nonzero) digits is 233280, while the sum is 45.
The spelling of 1010232329985 in words is "one trillion, ten billion, two hundred thirty-two million, three hundred twenty-nine thousand, nine hundred eighty-five".
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