| Base | Representation |
|---|---|
| bin | 10011100101101111… |
| … | …11100010001010000 |
| 3 | 1000010221222012220000 |
| 4 | 21302313330101100 |
| 5 | 133014400431000 |
| 6 | 4455340050000 |
| 7 | 521424512334 |
| oct | 116267742120 |
| 9 | 30127865800 |
| 10 | 10517202000 |
| 11 | 4507760588 |
| 12 | 2056233900 |
| 13 | cb7bb6266 |
| 14 | 71ab157c4 |
| 15 | 4184c3000 |
| hex | 272dfc450 |
10517202000 has 200 divisors, whose sum is σ = 37989497832. Its totient is φ = 2804544000.
The previous prime is 10517201987. The next prime is 10517202023. The reversal of 10517202000 is 20271501.
10517202000 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 4 ways, for example, as 2591217216 + 7925984784 = 50904^2 + 89028^2 .
It is a tau number, because it is divible by the number of its divisors (200).
It is a super-2 number, since 2×105172020002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 129540 + ... + 194460.
Almost surely, 210517202000 is an apocalyptic number.
10517202000 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 10517202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18994748916).
10517202000 is an abundant number, since it is smaller than the sum of its proper divisors (27472295832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10517202000 is an equidigital number, since it uses as much as digits as its factorization.
10517202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 64956 (or 64931 counting only the distinct ones).
The product of its (nonzero) digits is 140, while the sum is 18.
Adding to 10517202000 its reverse (20271501), we get a palindrome (10537473501).
The spelling of 10517202000 in words is "ten billion, five hundred seventeen million, two hundred two thousand".
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