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331323220032 = 26372139253361
BaseRepresentation
bin1001101001001000110…
…01110010000001000000
31011200012111002110202120
410310210121302001000
520412022221020112
6412112514244240
732636332621500
oct4644431620100
91150174073676
10331323220032
11118571358102
1254267586680
132532239b92c
14120711d3a00
158942562e8c
hex4d24672040

331323220032 has 168 divisors, whose sum is σ = 1027089010080. Its totient is φ = 93982371840.

The previous prime is 331323219991. The next prime is 331323220037. The reversal of 331323220032 is 230022323133.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×3313232200322 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 331323219984 and 331323220011.

It is not an unprimeable number, because it can be changed into a prime (331323220037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1181032 + ... + 1434392.

It is an arithmetic number, because the mean of its divisors is an integer number (6113625060).

Almost surely, 2331323220032 is an apocalyptic number.

331323220032 is a gapful number since it is divisible by the number (32) 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 331323220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513544505040).

331323220032 is an abundant number, since it is smaller than the sum of its proper divisors (695765790048).

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

331323220032 is a wasteful number, since it uses less digits than its factorization.

331323220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253529 (or 253512 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 331323220032 its reverse (230022323133), we get a palindrome (561345543165).

The spelling of 331323220032 in words is "three hundred thirty-one billion, three hundred twenty-three million, two hundred twenty thousand, thirty-two".