Base | Representation |
---|---|
bin | 1101100100000000000… |
… | …1010001110111010000 |
3 | 211021102022221210110200 |
4 | 3121000001101313100 |
5 | 12304142042423440 |
6 | 255012332055200 |
7 | 22556004652335 |
oct | 3310001216720 |
9 | 737368853420 |
10 | 233002311120 |
11 | 8a8a7803a97 |
12 | 391a8004500 |
13 | 18c836c7717 |
14 | b3c517498c |
15 | 60da94bc30 |
hex | 3640051dd0 |
233002311120 has 240 divisors, whose sum is σ = 804239334912. Its totient is φ = 60410188800.
The previous prime is 233002311103. The next prime is 233002311121. The reversal of 233002311120 is 21113200332.
233002311120 is a `hidden beast` number, since 2 + 330 + 0 + 2 + 311 + 1 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×2330023111202 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 233002311093 and 233002311102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233002311121) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51972399 + ... + 51976881.
Almost surely, 2233002311120 is an apocalyptic number.
233002311120 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 233002311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402119667456).
233002311120 is an abundant number, since it is smaller than the sum of its proper divisors (571237023792).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233002311120 is a wasteful number, since it uses less digits than its factorization.
233002311120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6490 (or 6481 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 233002311120 its reverse (21113200332), we get a palindrome (254115511452).
The spelling of 233002311120 in words is "two hundred thirty-three billion, two million, three hundred eleven thousand, one hundred twenty".
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