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331132330130310 = 2325295919441110609
BaseRepresentation
bin100101101001010011100000…
…0111010010011101110000110
31121102102221102102112220022200
41023102213000322103232012
5321400233003003132220
63132132031543535330
7126514343554364442
oct11322470072235606
91542387372486280
10331132330130310
1196566483835a25
123117b7b745a546
131129c84c678947
145baac66d67822
1528437a2586890
hex12d29c0e93b86

331132330130310 has 192 divisors, whose sum is σ = 905782015944000. Its totient is φ = 83806956011520.

The previous prime is 331132330130243. The next prime is 331132330130311. The reversal of 331132330130310 is 13031033231133.

331132330130310 is a `hidden beast` number, since 3 + 3 + 1 + 1 + 3 + 2 + 330 + 13 + 0 + 310 = 666.

It is a super-2 number, since 2×3311323301303102 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331132330130311) 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 95 ways as a sum of consecutive naturals, for example, 2993664286 + ... + 2993774894.

It is an arithmetic number, because the mean of its divisors is an integer number (4717614666375).

Almost surely, 2331132330130310 is an apocalyptic number.

331132330130310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 331132330130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452891007972000).

331132330130310 is an abundant number, since it is smaller than the sum of its proper divisors (574649685813690).

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

331132330130310 is a wasteful number, since it uses less digits than its factorization.

331132330130310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130151 (or 130148 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 331132330130310 its reverse (13031033231133), we get a palindrome (344163363361443).

The spelling of 331132330130310 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, three hundred thirty million, one hundred thirty thousand, three hundred ten".