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332020213013106 = 23253457761552677
BaseRepresentation
bin100101101111110000111101…
…0110110101101101001110010
31121112120211012111211122121100
41023133201322312231221302
5322004304344012404411
63134051551415305230
7126635445252354612
oct11337417266555162
91545524174748540
10332020213013106
1196878a88551272
12312a38a967b216
13113354aa9454c7
145bdbc14d66a42
15285b91ae0b456
hex12df87adada72

332020213013106 has 48 divisors (see below), whose sum is σ = 734554112459544. Its totient is φ = 108347622319872.

The previous prime is 332020213013101. The next prime is 332020213013141. The reversal of 332020213013106 is 601310312020233.

332020213013106 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 20 + 21 + 301 + 310 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 328529798902881 + 3490414110225 = 18125391^2 + 1868265^2 .

It is a super-2 number, since 2×3320202130131062 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 332020213013106.

It is not an unprimeable number, because it can be changed into a prime (332020213013101) 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 23 ways as a sum of consecutive naturals, for example, 380340361 + ... + 381212316.

Almost surely, 2332020213013106 is an apocalyptic number.

332020213013106 is an abundant number, since it is smaller than the sum of its proper divisors (402533899446438).

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

332020213013106 is a wasteful number, since it uses less digits than its factorization.

332020213013106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761553195 (or 761553192 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 332020213013106 its reverse (601310312020233), we get a palindrome (933330525033339).

The spelling of 332020213013106 in words is "three hundred thirty-two trillion, twenty billion, two hundred thirteen million, thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 53 106 159 318 457 477 914 954 1371 2742 4113 8226 24221 48442 72663 145326 217989 435978 761552677 1523105354 2284658031 4569316062 6853974093 13707948186 40362291881 80724583762 121086875643 242173751286 348029573389 363260626929 696059146778 726521253858 1044088720167 2088177440334 3132266160501 6264532321002 18445567389617 36891134779234 55336702168851 110673404337702 166010106506553 332020213013106