| Base | Representation |
|---|---|
| bin | 10011000001001000… |
| … | …11100001100100000 |
| 3 | 222100120002211010212 |
| 4 | 21200210130030200 |
| 5 | 131402241200000 |
| 6 | 4405045513252 |
| 7 | 511005263252 |
| oct | 114044341440 |
| 9 | 28316084125 |
| 10 | 10210100000 |
| 11 | 436a376281 |
| 12 | 1b8b412828 |
| 13 | c6939c9b9 |
| 14 | 6cc013cd2 |
| 15 | 3eb55ec35 |
| hex | 26091c320 |
10210100000 has 72 divisors (see below), whose sum is σ = 25125055956. Its totient is φ = 4084000000.
The previous prime is 10210099997. The next prime is 10210100003. The reversal of 10210100000 is 101201.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (10210099997) and next prime (10210100003).
It can be written as a sum of positive squares in 6 ways, for example, as 3586093456 + 6624006544 = 59884^2 + 81388^2 .
It is a super-2 number, since 2×102101000002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (5).
It is not an unprimeable number, because it can be changed into a prime (10210100003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48950 + ... + 151050.
Almost surely, 210210100000 is an apocalyptic number.
10210100000 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 10210100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12562527978).
10210100000 is an abundant number, since it is smaller than the sum of its proper divisors (14914955956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10210100000 is an frugal number, since it uses more digits than its factorization.
10210100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102136 (or 102108 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 5.
Adding to 10210100000 its reverse (101201), we get a palindrome (10210201201).
The spelling of 10210100000 in words is "ten billion, two hundred ten million, one hundred thousand".
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