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331000230330 = 233571136714337
BaseRepresentation
bin1001101000100010010…
…01101011000110111010
31011122100222022220012000
410310101021223012322
520410342024332310
6412020455401430
732625331351530
oct4642111530672
91148328286160
10331000230330
11118416001170
1254197383276
13252a04b1973
1412040358150
1589240124c0
hex4d1126b1ba

331000230330 has 256 divisors, whose sum is σ = 1101021880320. Its totient is φ = 68744678400.

The previous prime is 331000230329. The next prime is 331000230331. The reversal of 331000230330 is 33032000133.

331000230330 is a `hidden beast` number, since 3 + 3 + 100 + 0 + 230 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (331000230329) and next prime (331000230331).

It is a super-2 number, since 2×3310002303302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (331000230331) 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, 76317922 + ... + 76322258.

It is an arithmetic number, because the mean of its divisors is an integer number (4300866720).

Almost surely, 2331000230330 is an apocalyptic number.

331000230330 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 331000230330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550510940160).

331000230330 is an abundant number, since it is smaller than the sum of its proper divisors (770021649990).

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

331000230330 is a wasteful number, since it uses less digits than its factorization.

331000230330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8042 (or 8036 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 331000230330 its reverse (33032000133), we get a palindrome (364032230463).

The spelling of 331000230330 in words is "three hundred thirty-one billion, two hundred thirty thousand, three hundred thirty".