| Base | Representation |
|---|---|
| bin | 10011001100001001… |
| … | …00100111010100000 |
| 3 | 222120222210200012120 |
| 4 | 21212010210322200 |
| 5 | 132044404113100 |
| 6 | 4422144224240 |
| 7 | 513206020632 |
| oct | 114604447240 |
| 9 | 28528720176 |
| 10 | 10302410400 |
| 11 | 4407495467 |
| 12 | 1bb630b080 |
| 13 | c82550439 |
| 14 | 6da3a2a52 |
| 15 | 4046e60a0 |
| hex | 266124ea0 |
10302410400 has 144 divisors (see below), whose sum is σ = 33666845184. Its totient is φ = 2736455680.
The previous prime is 10302410359. The next prime is 10302410467. The reversal of 10302410400 is 401420301.
It is a super-2 number, since 2×103024104002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 10302410400.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608449 + ... + 625151.
It is an arithmetic number, because the mean of its divisors is an integer number (233797536).
Almost surely, 210302410400 is an apocalyptic number.
10302410400 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 10302410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16833422592).
10302410400 is an abundant number, since it is smaller than the sum of its proper divisors (23364434784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10302410400 is a wasteful number, since it uses less digits than its factorization.
10302410400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16983 (or 16970 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
Adding to 10302410400 its reverse (401420301), we get a palindrome (10703830701).
Subtracting from 10302410400 its reverse (401420301), we obtain a palindrome (9900990099).
The spelling of 10302410400 in words is "ten billion, three hundred two million, four hundred ten thousand, four hundred".
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