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331020011322 = 2327111319793257
BaseRepresentation
bin1001101000100100101…
…01001000011100111010
31011122102100112212121100
410310102111020130322
520410412110330242
6412022443352230
732625661446210
oct4642225103472
91148370485540
10331020011322
111184261919a0
12541a1b22676
13252a46194b0
1412042c26cb0
158925b1d54c
hex4d1254873a

331020011322 has 192 divisors, whose sum is σ = 967865842944. Its totient is φ = 78961720320.

The previous prime is 331020011291. The next prime is 331020011369. The reversal of 331020011322 is 223110020133.

331020011322 is a `hidden beast` number, since 3 + 310 + 20 + 0 + 11 + 322 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 331020011295 and 331020011304.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3502918 + ... + 3596174.

It is an arithmetic number, because the mean of its divisors is an integer number (5040967932).

Almost surely, 2331020011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331020011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483932921472).

331020011322 is an abundant number, since it is smaller than the sum of its proper divisors (636845831622).

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

331020011322 is a wasteful number, since it uses less digits than its factorization.

331020011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93493 (or 93490 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 331020011322 its reverse (223110020133), we get a palindrome (554130031455).

The spelling of 331020011322 in words is "three hundred thirty-one billion, twenty million, eleven thousand, three hundred twenty-two".