Search a number
-
+
232033113120000 = 28354571846589
BaseRepresentation
bin110100110000100001101011…
…010010001001110100000000
31010102120011000121100110012110
4310300201223102021310000
5220403112303424320000
62141254312434455320
766605560564261413
oct6460415322116400
91112504017313173
10232033113120000
1167a297662a1365
12220356a4134540
139c6182329730a
144142669519b7a
151bc5aa8e0a850
hexd3086b489d00

232033113120000 has 360 divisors, whose sum is σ = 773038436890720. Its totient is φ = 61767060480000.

The previous prime is 232033113119957. The next prime is 232033113120019. The reversal of 232033113120000 is 21311330232.

It is a super-2 number, since 2×2320331131200002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 273656706 + ... + 274503294.

Almost surely, 2232033113120000 is an apocalyptic number.

232033113120000 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 232033113120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386519218445360).

232033113120000 is an abundant number, since it is smaller than the sum of its proper divisors (541005323770720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

232033113120000 is an frugal number, since it uses more digits than its factorization.

232033113120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847199 (or 847170 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 232033113120000 its reverse (21311330232), we get a palindrome (232054424450232).

The spelling of 232033113120000 in words is "two hundred thirty-two trillion, thirty-three billion, one hundred thirteen million, one hundred twenty thousand".