| Base | Representation |
|---|---|
| bin | 10111111000010010010010… |
| … | …101110100011111010010000 |
| 3 | 111202212002201120202101012100 |
| 4 | 113320102102232203322100 |
| 5 | 102231144102003013130 |
| 6 | 1011210522344000400 |
| 7 | 31056442615530054 |
| oct | 2770222256437220 |
| 9 | 452762646671170 |
| 10 | 105023002001040 |
| 11 | 3051100675a552 |
| 12 | b9421b2a60100 |
| 13 | 467a81b81a0c6 |
| 14 | 1bd11d7447c64 |
| 15 | c21d51598c60 |
| hex | 5f8492ba3e90 |
105023002001040 has 480 divisors, whose sum is σ = 374462671355136. Its totient is φ = 26287255388160.
The previous prime is 105023002001003. The next prime is 105023002001053. The reversal of 105023002001040 is 40100200320501.
105023002001040 is a `hidden beast` number, since 10 + 50 + 2 + 300 + 200 + 104 + 0 = 666.
105023002001040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1050230020010402 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22996056837 + ... + 22996061403.
Almost surely, 2105023002001040 is an apocalyptic number.
105023002001040 is a gapful number since it is divisible by the number (10) 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 105023002001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187231335677568).
105023002001040 is an abundant number, since it is smaller than the sum of its proper divisors (269439669354096).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105023002001040 is a wasteful number, since it uses less digits than its factorization.
105023002001040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9287 (or 9278 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 18.
Adding to 105023002001040 its reverse (40100200320501), we get a palindrome (145123202321541).
The spelling of 105023002001040 in words is "one hundred five trillion, twenty-three billion, two million, one thousand, forty".
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