| Base | Representation |
|---|---|
| bin | 1001010111100110010000… |
| … | …0011000011111111101000 |
| 3 | 1100110202201002211200120000 |
| 4 | 2111321210003003333220 |
| 5 | 2322232432041201300 |
| 6 | 33524115124103000 |
| 7 | 2112136430105331 |
| oct | 225714403037750 |
| 9 | 40422632750500 |
| 10 | 10301010100200 |
| 11 | 33116a7722576 |
| 12 | 11a44a3534a60 |
| 13 | 5994c531c651 |
| 14 | 27880048b288 |
| 15 | 12ce4612ac00 |
| hex | 95e640c3fe8 |
10301010100200 has 960 divisors, whose sum is σ = 38546601453360. Its totient is φ = 2540236308480.
The previous prime is 10301010100193. The next prime is 10301010100201. The reversal of 10301010100200 is 200101010301.
10301010100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 24 ways, for example, as 3459845524356 + 6841164575844 = 1860066^2 + 2615562^2 .
It is a super-2 number, since 2×103010101002002 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (10301010100201) by changing a digit.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6292613782 + ... + 6292615418.
Almost surely, 210301010100200 is an apocalyptic number.
10301010100200 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 10301010100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19273300726680).
10301010100200 is an abundant number, since it is smaller than the sum of its proper divisors (28245591353160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10301010100200 is a wasteful number, since it uses less digits than its factorization.
10301010100200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2068 (or 2050 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10301010100200 its reverse (200101010301), we get a palindrome (10501111110501).
The spelling of 10301010100200 in words is "ten trillion, three hundred one billion, ten million, one hundred thousand, two hundred".
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