Base | Representation |
---|---|
bin | 100101101000010101111001… |
… | …1011001100100011110000000 |
3 | 1121101222021221102112111122220 |
4 | 1023100223303121210132000 |
5 | 321341101031444400000 |
6 | 3131551152133331040 |
7 | 126501651250132323 |
oct | 11320536331443600 |
9 | 1541867842474586 |
10 | 331000033200000 |
11 | 9651536465208a |
12 | 3115a035496a80 |
13 | 11290227965268 |
14 | 5ba46b67cc7ba |
15 | 284010cc5b1a0 |
hex | 12d0af3664780 |
331000033200000 has 384 divisors, whose sum is σ = 1106231651642880. Its totient is φ = 87682080000000.
The previous prime is 331000033199911. The next prime is 331000033200043. The reversal of 331000033200000 is 2330000133.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×3310000332000002 (a number of 30 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180286645 + ... + 182113355.
It is an arithmetic number, because the mean of its divisors is an integer number (2880811592820).
Almost surely, 2331000033200000 is an apocalyptic number.
331000033200000 is a gapful number since it is divisible by the number (30) 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 331000033200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553115825821440).
331000033200000 is an abundant number, since it is smaller than the sum of its proper divisors (775231618442880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
331000033200000 is an equidigital number, since it uses as much as digits as its factorization.
331000033200000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1826904 (or 1826872 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 15.
Adding to 331000033200000 its reverse (2330000133), we get a palindrome (331002363200133).
The spelling of 331000033200000 in words is "three hundred thirty-one trillion, thirty-three million, two hundred thousand".
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