Search a number
-
+
330402033213012 = 223226096935168293
BaseRepresentation
bin100101100011111111011011…
…1110100101001111001010100
31121022212010101210001122020200
41023013332313310221321110
5321301301331000304022
63130412333150300500
7126410521251122115
oct11307766764517124
91538763353048220
10330402033213012
1196304796204a02
12310821644b7730
1311248a16488007
145b8378800820c
15282e7ad7a4bac
hex12c7fb7d29e54

330402033213012 has 36 divisors (see below), whose sum is σ = 835186141351380. Its totient is φ = 110133585919872.

The previous prime is 330402033212899. The next prime is 330402033213013. The reversal of 330402033213012 is 210312330204033.

330402033213012 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 0 + 20 + 332 + 1 + 301 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 192182602644036 + 138219430568976 = 13862994^2 + 11756676^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3304020332130122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330402033213013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8189263 + ... + 26979030.

Almost surely, 2330402033213012 is an apocalyptic number.

It is an amenable number.

330402033213012 is an abundant number, since it is smaller than the sum of its proper divisors (504784108138368).

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

330402033213012 is a wasteful number, since it uses less digits than its factorization.

330402033213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35429272 (or 35429267 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 330402033213012 its reverse (210312330204033), we get a palindrome (540714363417045).

The spelling of 330402033213012 in words is "three hundred thirty trillion, four hundred two billion, thirty-three million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 260969 521938 782907 1043876 1565814 2348721 3131628 4697442 9394884 35168293 70336586 105504879 140673172 211009758 316514637 422019516 633029274 1266058548 9177834255917 18355668511834 27533502767751 36711337023668 55067005535502 82600508303253 110134011071004 165201016606506 330402033213012