| Base | Representation |
|---|---|
| bin | 1001000110101110101100… |
| … | …1101100110010000011010 |
| 3 | 1022110001201010122211001200 |
| 4 | 2101223223031212100122 |
| 5 | 2303010434310310020 |
| 6 | 33143031352455030 |
| 7 | 2052200236014612 |
| oct | 221535315462032 |
| 9 | 38401633584050 |
| 10 | 10011220010010 |
| 11 | 320a80978166a |
| 12 | 11582a93aa476 |
| 13 | 578091824cbb |
| 14 | 26878d30da42 |
| 15 | 125634e90590 |
| hex | 91aeb36641a |
10011220010010 has 96 divisors (see below), whose sum is σ = 26365443708240. Its totient is φ = 2635269120000.
The previous prime is 10011220010003. The next prime is 10011220010017. The reversal of 10011220010010 is 1001002211001.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10011220010003) and next prime (10011220010017).
It can be written as a sum of positive squares in 8 ways, for example, as 1263958299081 + 8747261710929 = 1124259^2 + 2957577^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10011220009974 and 10011220010001.
It is not an unprimeable number, because it can be changed into a prime (10011220010017) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3774210 + ... + 5853810.
Almost surely, 210011220010010 is an apocalyptic number.
10011220010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10011220010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182721854120).
10011220010010 is an abundant number, since it is smaller than the sum of its proper divisors (16354223698230).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011220010010 is a wasteful number, since it uses less digits than its factorization.
10011220010010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2080304 (or 2080301 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10011220010010 its reverse (1001002211001), we get a palindrome (11012222221011).
The spelling of 10011220010010 in words is "ten trillion, eleven billion, two hundred twenty million, ten thousand, ten".
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