| Base | Representation |
|---|---|
| bin | 111101011001001… |
| … | …110001111010100 |
| 3 | 2122210011112200200 |
| 4 | 331121032033110 |
| 5 | 4102141201400 |
| 6 | 250112540500 |
| 7 | 34345020612 |
| oct | 7531161724 |
| 9 | 2583145620 |
| 10 | 1030022100 |
| 11 | 489469938 |
| 12 | 248b51730 |
| 13 | 13551c243 |
| 14 | 9ab246b2 |
| 15 | 60661b00 |
| hex | 3d64e3d4 |
1030022100 has 108 divisors (see below), whose sum is σ = 3250638300. Its totient is φ = 272793600.
The previous prime is 1030022093. The next prime is 1030022101. The reversal of 1030022100 is 12200301.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 66292164 + 963729936 = 8142^2 + 31044^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1030022101) 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 35 ways as a sum of consecutive naturals, for example, 130260 + ... + 137940.
Almost surely, 21030022100 is an apocalyptic number.
1030022100 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 1030022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625319150).
1030022100 is an abundant number, since it is smaller than the sum of its proper divisors (2220616200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1030022100 is a wasteful number, since it uses less digits than its factorization.
1030022100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7850 (or 7840 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1030022100 is about 32093.9573751820. The cubic root of 1030022100 is about 1009.9088569194.
Adding to 1030022100 its reverse (12200301), we get a palindrome (1042222401).
It can be divided in two parts, 10300 and 22100, that added together give a square (32400 = 1802).
The spelling of 1030022100 in words is "one billion, thirty million, twenty-two thousand, one hundred".
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