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330131222320020 = 2235114431823619373
BaseRepresentation
bin100101100010000001010101…
…0001111000101001110010100
31121021220020101111120212210220
41023010002222033011032110
5321232332220403220040
63130044105001114340
7126352123305403002
oct11304025217051624
91537806344525726
10330131222320020
119620a957550840
12310397864889b0
1311229318a26474
145b7461774ba72
15282770d9452d0
hex12c40aa3c5394

330131222320020 has 192 divisors, whose sum is σ = 1011233160290304. Its totient is φ = 79807221844480.

The previous prime is 330131222319923. The next prime is 330131222320057. The reversal of 330131222320020 is 20023222131033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 532699054 + ... + 533318426.

It is an arithmetic number, because the mean of its divisors is an integer number (5266839376512).

Almost surely, 2330131222320020 is an apocalyptic number.

330131222320020 is a gapful number since it is divisible by the number (30) 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 330131222320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505616580145152).

330131222320020 is an abundant number, since it is smaller than the sum of its proper divisors (681101937970284).

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

330131222320020 is a wasteful number, since it uses less digits than its factorization.

330131222320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621662 (or 621660 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 330131222320020 its reverse (20023222131033), we get a palindrome (350154444451053).

The spelling of 330131222320020 in words is "three hundred thirty trillion, one hundred thirty-one billion, two hundred twenty-two million, three hundred twenty thousand, twenty".