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11331320323230 = 23351923857112061
BaseRepresentation
bin1010010011100100011101…
…0100101001110010011110
31111010021010012021222102000
42210321013110221302132
52441123021000320410
640033311531543130
72246442452361465
oct244710724516236
944107105258360
1011331320323230
113679649a08666
1213301042baaa6
1364270101a2ab
142b26202139dc
15149b48848dc0
hexa4e47529c9e

11331320323230 has 256 divisors, whose sum is σ = 33229162137600. Its totient is φ = 2734966840320.

The previous prime is 11331320323189. The next prime is 11331320323277. The reversal of 11331320323230 is 3232302313311.

11331320323230 is a `hidden beast` number, since 1 + 1 + 3 + 313 + 2 + 0 + 323 + 23 + 0 = 666.

11331320323230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11331320323194 and 11331320323203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 101061400 + ... + 101173460.

It is an arithmetic number, because the mean of its divisors is an integer number (129801414600).

Almost surely, 211331320323230 is an apocalyptic number.

11331320323230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331320323230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614581068800).

11331320323230 is an abundant number, since it is smaller than the sum of its proper divisors (21897841814370).

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

11331320323230 is a wasteful number, since it uses less digits than its factorization.

11331320323230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112976 (or 112970 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11331320323230 its reverse (3232302313311), we get a palindrome (14563622636541).

The spelling of 11331320323230 in words is "eleven trillion, three hundred thirty-one billion, three hundred twenty million, three hundred twenty-three thousand, two hundred thirty".