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331323301203030 = 2335194713217103969
BaseRepresentation
bin100101101010101100011011…
…1101011001000110001010110
31121110010012100112022120001000
41023111120313223020301112
5321411400110101444110
63132355453500444130
7126534214161620343
oct11325306753106126
91543105315276030
10331323301203030
119662a471a48454
12311b0813249646
13112b4865229ba6
145bb61c1c637ca
15284872d0181c0
hex12d5637ac8c56

331323301203030 has 256 divisors, whose sum is σ = 949899197952000. Its totient is φ = 81914833502208.

The previous prime is 331323301202947. The next prime is 331323301203031. The reversal of 331323301203030 is 30302103323133.

331323301203030 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 2 + 330 + 1 + 20 + 303 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331323301202985 and 331323301203003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331323301203031) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3186698886 + ... + 3186802854.

It is an arithmetic number, because the mean of its divisors is an integer number (3710543742000).

Almost surely, 2331323301203030 is an apocalyptic number.

331323301203030 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 331323301203030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474949598976000).

331323301203030 is an abundant number, since it is smaller than the sum of its proper divisors (618575896748970).

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

331323301203030 is a wasteful number, since it uses less digits than its factorization.

331323301203030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117268 (or 117262 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 331323301203030 its reverse (30302103323133), we get a palindrome (361625404526163).

The spelling of 331323301203030 in words is "three hundred thirty-one trillion, three hundred twenty-three billion, three hundred one million, two hundred three thousand, thirty".