Base | Representation |
---|---|
bin | 10101101111111101… |
… | …000111110000010000 |
3 | 2020021112000220212202 |
4 | 111233331013300100 |
5 | 340311400130000 |
6 | 14421150342332 |
7 | 1454466221054 |
oct | 255775076020 |
9 | 66245026782 |
10 | 23353130000 |
11 | 99a4262242 |
12 | 4638aba9a8 |
13 | 228229cc25 |
14 | 11b7771c64 |
15 | 91a315dd5 |
hex | 56ff47c10 |
23353130000 has 100 divisors (see below), whose sum is σ = 56641828188. Its totient is φ = 9324480000.
The previous prime is 23353129909. The next prime is 23353130023. The reversal of 23353130000 is 3135332.
It can be written as a sum of positive squares in 10 ways, for example, as 10613944576 + 12739185424 = 103024^2 + 112868^2 .
It is a tau number, because it is divible by the number of its divisors (100).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6608234 + ... + 6611766.
Almost surely, 223353130000 is an apocalyptic number.
23353130000 is a gapful number since it is divisible by the number (20) 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 23353130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320914094).
23353130000 is an abundant number, since it is smaller than the sum of its proper divisors (33288698188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23353130000 is an equidigital number, since it uses as much as digits as its factorization.
23353130000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4222 (or 4201 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 20.
Adding to 23353130000 its reverse (3135332), we get a palindrome (23356265332).
The spelling of 23353130000 in words is "twenty-three billion, three hundred fifty-three million, one hundred thirty thousand".
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