| Base | Representation |
|---|---|
| bin | 10011001011111111… |
| … | …00101100000010100 |
| 3 | 222120220100012120000 |
| 4 | 21211333211200110 |
| 5 | 132044040231400 |
| 6 | 4422100211300 |
| 7 | 513161631432 |
| oct | 114577454024 |
| 9 | 28526305500 |
| 10 | 10301102100 |
| 11 | 4406781523 |
| 12 | 1bb5999b30 |
| 13 | c821b2ab3 |
| 14 | 6da141d52 |
| 15 | 404538600 |
| hex | 265fe5814 |
10301102100 has 180 divisors, whose sum is σ = 33719029344. Its totient is φ = 2720070720.
The previous prime is 10301102099. The next prime is 10301102107. The reversal of 10301102100 is 120110301.
10301102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×103011021002 (a number of 21 digits) contains 22 as substring.
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 (10301102107) 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 59 ways as a sum of consecutive naturals, for example, 828127 + ... + 840473.
Almost surely, 210301102100 is an apocalyptic number.
10301102100 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 10301102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16859514672).
10301102100 is an abundant number, since it is smaller than the sum of its proper divisors (23417927244).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10301102100 is a wasteful number, since it uses less digits than its factorization.
10301102100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12476 (or 12460 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
Adding to 10301102100 its reverse (120110301), we get a palindrome (10421212401).
The spelling of 10301102100 in words is "ten billion, three hundred one million, one hundred two thousand, one hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.066 sec. • engine limits •