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331011334420 = 22513191271493541
BaseRepresentation
bin1001101000100011101…
…00000010000100010100
31011122101202020001010121
410310101310002010110
520410402400200140
6412021533401324
732625524630134
oct4642164020424
91148352201117
10331011334420
111184212a58a8
125419b039244
13252a289bc30
1412041a08ac4
158924ea764a
hex4d11d02114

331011334420 has 192 divisors, whose sum is σ = 799755264000. Its totient is φ = 114072053760.

The previous prime is 331011334391. The next prime is 331011334499. The reversal of 331011334420 is 24433110133.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 93477850 + ... + 93481390.

It is an arithmetic number, because the mean of its divisors is an integer number (4165392000).

Almost surely, 2331011334420 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 331011334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399877632000).

331011334420 is an abundant number, since it is smaller than the sum of its proper divisors (468743929580).

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

331011334420 is a wasteful number, since it uses less digits than its factorization.

331011334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3858 (or 3856 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 331011334420 its reverse (24433110133), we get a palindrome (355444444553).

The spelling of 331011334420 in words is "three hundred thirty-one billion, eleven million, three hundred thirty-four thousand, four hundred twenty".