Base | Representation |
---|---|
bin | 100001011111001011011… |
… | …010100001101101000000 |
3 | 22010222211222212002022222 |
4 | 201133023122201231000 |
5 | 300200344334411000 |
6 | 4521055503550212 |
7 | 325154245142204 |
oct | 41371332415500 |
9 | 8128758762288 |
10 | 2301220232000 |
11 | 807a3a912488 |
12 | 311ba9bbb368 |
13 | 13900911c341 |
14 | 7d545aaab04 |
15 | 3ecd7871a85 |
hex | 217cb6a1b40 |
2301220232000 has 224 divisors, whose sum is σ = 6092827153920. Its totient is φ = 857925427200.
The previous prime is 2301220231987. The next prime is 2301220232021. The reversal of 2301220232000 is 2320221032.
It is a super-2 number, since 2×23012202320002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (17).
It is a self number, because there is not a number n which added to its sum of digits gives 2301220232000.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 13925861 + ... + 14090139.
Almost surely, 22301220232000 is an apocalyptic number.
2301220232000 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 2301220232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046413576960).
2301220232000 is an abundant number, since it is smaller than the sum of its proper divisors (3791606921920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2301220232000 is a wasteful number, since it uses less digits than its factorization.
2301220232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 164426 (or 164406 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 17.
Adding to 2301220232000 its reverse (2320221032), we get a palindrome (2303540453032).
The spelling of 2301220232000 in words is "two trillion, three hundred one billion, two hundred twenty million, two hundred thirty-two thousand".
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