| Base | Representation |
|---|---|
| bin | 1010011101110001000110… |
| … | …11111110111111010010000 |
| 3 | 10000111000122122121010111200 |
| 4 | 11032320203133313322100 |
| 5 | 11004021141231030000 |
| 6 | 120540012402511200 |
| 7 | 4563431226165204 |
| oct | 516704337677220 |
| 9 | 100430578533450 |
| 10 | 23013030330000 |
| 11 | 7372853744587 |
| 12 | 26b80b5365500 |
| 13 | cac172574879 |
| 14 | 597b9d936b04 |
| 15 | 29d94d51d500 |
| hex | 14ee237f7e90 |
23013030330000 has 300 divisors, whose sum is σ = 83255069271660. Its totient is φ = 5925193344000.
The previous prime is 23013030329987. The next prime is 23013030330013. The reversal of 23013030330000 is 3303031032.
23013030330000 is a `hidden beast` number, since 2 + 30 + 1 + 30 + 303 + 300 + 0 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (23013030329987) and next prime (23013030330013).
It can be written as a sum of positive squares in 10 ways, for example, as 22380203715984 + 632826614016 = 4730772^2 + 795504^2 .
It is a tau number, because it is divible by the number of its divisors (300).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1798627 + ... + 7018626.
Almost surely, 223013030330000 is an apocalyptic number.
23013030330000 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 23013030330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41627534635830).
23013030330000 is an abundant number, since it is smaller than the sum of its proper divisors (60242038941660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23013030330000 is a wasteful number, since it uses less digits than its factorization.
23013030330000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8817316 (or 8817292 counting only the distinct ones).
The product of its (nonzero) digits is 486, while the sum is 18.
Adding to 23013030330000 its reverse (3303031032), we get a palindrome (23016333361032).
The spelling of 23013030330000 in words is "twenty-three trillion, thirteen billion, thirty million, three hundred thirty thousand".
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