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330032130330132 = 22329167559175837
BaseRepresentation
bin100101100001010011001011…
…1111001001000111000010100
31121021112202121121112020021100
41023002212113321020320110
5321224221300331031012
63125530400111550100
7126342014565364206
oct11302462771107024
91537482547466240
10330032130330132
119618192771911a
123102253082b330
131121cb86386319
145b6d8d7130776
152824d5e2ba8dc
hex12c2997e48e14

330032130330132 has 18 divisors (see below), whose sum is σ = 834247885001258. Its totient is φ = 110010710110032.

The previous prime is 330032130330107. The next prime is 330032130330143. The reversal of 330032130330132 is 231033031230033.

330032130330132 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 21 + 303 + 301 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 328521207523716 + 1510922806416 = 18125154^2 + 1229196^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 330032130330096 and 330032130330105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4583779587883 + ... + 4583779587954.

Almost surely, 2330032130330132 is an apocalyptic number.

It is an amenable number.

330032130330132 is an abundant number, since it is smaller than the sum of its proper divisors (504215754671126).

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

330032130330132 is a wasteful number, since it uses less digits than its factorization.

330032130330132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167559175847 (or 9167559175842 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 330032130330132 its reverse (231033031230033), we get a palindrome (561065161560165).

The spelling of 330032130330132 in words is "three hundred thirty trillion, thirty-two billion, one hundred thirty million, three hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 9167559175837 18335118351674 27502677527511 36670236703348 55005355055022 82508032582533 110010710110044 165016065165066 330032130330132