| Base | Representation |
|---|---|
| bin | 10010011111110010… |
| … | …01001011010001000 |
| 3 | 221122001122021211021 |
| 4 | 21033321021122020 |
| 5 | 130314130043100 |
| 6 | 4321213042224 |
| 7 | 501040200565 |
| oct | 111771113210 |
| 9 | 27561567737 |
| 10 | 9930315400 |
| 11 | 4236449a35 |
| 12 | 1b11786374 |
| 13 | c2342c395 |
| 14 | 6a2bc386c |
| 15 | 3d1be5a1a |
| hex | 24fe49688 |
9930315400 has 72 divisors (see below), whose sum is σ = 24460412670. Its totient is φ = 3736284160.
The previous prime is 9930315377. The next prime is 9930315407. The reversal of 9930315400 is 45130399.
It can be written as a sum of positive squares in 9 ways, for example, as 37625956 + 9892689444 = 6134^2 + 99462^2 .
It is a super-2 number, since 2×99303154002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (34).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (9930315407) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5809746 + ... + 5811454.
Almost surely, 29930315400 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9930315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12230206335).
9930315400 is an abundant number, since it is smaller than the sum of its proper divisors (14530097270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9930315400 is a wasteful number, since it uses less digits than its factorization.
9930315400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3451 (or 1733 counting only the distinct ones).
The product of its (nonzero) digits is 14580, while the sum is 34.
The square root of 9930315400 is about 99650.9678829062. The cubic root of 9930315400 is about 2149.4186565966.
Multiplying 9930315400 by its sum of digits (34), we get a square (337630723600 = 5810602).
9930315400 divided by its sum of digits (34) gives a square (292068100 = 170902).
Adding to 9930315400 its reverse (45130399), we get a palindrome (9975445799).
The spelling of 9930315400 in words is "nine billion, nine hundred thirty million, three hundred fifteen thousand, four hundred".
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