| Base | Representation |
|---|---|
| bin | 1001000110001000101000… |
| … | …1011110010001011010000 |
| 3 | 1022102002100001001210111021 |
| 4 | 2101202022023302023100 |
| 5 | 2302324023031210000 |
| 6 | 33134221425525224 |
| 7 | 2051356105111324 |
| oct | 221421213621320 |
| 9 | 38362301053437 |
| 10 | 10001002210000 |
| 11 | 320644602724a |
| 12 | 11563174a3814 |
| 13 | 57712398a5a9 |
| 14 | 2680a0293984 |
| 15 | 125237e0e11a |
| hex | 9188a2f22d0 |
10001002210000 has 100 divisors (see below), whose sum is σ = 24217137488500. Its totient is φ = 3999787776000.
The previous prime is 10001002209997. The next prime is 10001002210007. The reversal of 10001002210000 is 1220010001.
It can be written as a sum of positive squares in 10 ways, for example, as 6457738099264 + 3543264110736 = 2541208^2 + 1882356^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001002210007) 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 19 ways as a sum of consecutive naturals, for example, 68216776 + ... + 68363224.
It is an arithmetic number, because the mean of its divisors is an integer number (242171374885).
Almost surely, 210001002210000 is an apocalyptic number.
10001002210000 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 10001002210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108568744250).
10001002210000 is an abundant number, since it is smaller than the sum of its proper divisors (14216135278500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001002210000 is an equidigital number, since it uses as much as digits as its factorization.
10001002210000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 153306 (or 153285 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
Adding to 10001002210000 its reverse (1220010001), we get a palindrome (10002222220001).
The spelling of 10001002210000 in words is "ten trillion, one billion, two million, two hundred ten thousand".
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