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232033131030000 = 2435425033090067
BaseRepresentation
bin110100110000100001101100…
…010110011110010111110000
31010102120011001212001101002210
4310300201230112132113300
5220403112323020430000
62141254314314412120
766605561202434226
oct6460415426362760
91112504055041083
10232033131030000
1167a29775414413
12220356aa131040
139c61826bc8351
14414266ba5cb16
151bc5aaa797350
hexd3086c59e5f0

232033131030000 has 200 divisors, whose sum is σ = 749333381661568. Its totient is φ = 61850761056000.

The previous prime is 232033131029977. The next prime is 232033131030007. The reversal of 232033131030000 is 30131330232.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232033131030007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73544967 + ... + 76635033.

Almost surely, 2232033131030000 is an apocalyptic number.

232033131030000 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 232033131030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374666690830784).

232033131030000 is an abundant number, since it is smaller than the sum of its proper divisors (517300250631568).

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

232033131030000 is a wasteful number, since it uses less digits than its factorization.

232033131030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092601 (or 3092580 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 232033131030000 its reverse (30131330232), we get a palindrome (232063262360232).

The spelling of 232033131030000 in words is "two hundred thirty-two trillion, thirty-three billion, one hundred thirty-one million, thirty thousand".