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331022121012 = 223411139691967
BaseRepresentation
bin1001101000100100111…
…01001011100000110100
31011122102111112001120000
410310102131023200310
520410413130333022
6412023000511300
732626015414002
oct4642235134064
91148374461500
10331022121012
111184273a2a40
12541a277b530
13252a4ba782b
1412043215a72
158925dd86ac
hex4d1274b834

331022121012 has 240 divisors, whose sum is σ = 953178293760. Its totient is φ = 99341121600.

The previous prime is 331022121011. The next prime is 331022121113. The reversal of 331022121012 is 210121220133.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331022121011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 342318153 + ... + 342319119.

It is an arithmetic number, because the mean of its divisors is an integer number (3971576224).

Almost surely, 2331022121012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331022121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476589146880).

331022121012 is an abundant number, since it is smaller than the sum of its proper divisors (622156172748).

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

331022121012 is a wasteful number, since it uses less digits than its factorization.

331022121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1813 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331022121012 its reverse (210121220133), we get a palindrome (541143341145).

The spelling of 331022121012 in words is "three hundred thirty-one billion, twenty-two million, one hundred twenty-one thousand, twelve".