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332020213013133 = 32431789147953349
BaseRepresentation
bin100101101111110000111101…
…0110110101101101010001101
31121112120211012111211122122100
41023133201322312231222031
5322004304344012410013
63134051551415305313
7126635445252354651
oct11337417266555215
91545524174748570
10332020213013133
1196878a88551297
12312a38a967b239
13113354aa945518
145bdbc14d66a61
15285b91ae0b473
hex12df87adada8d

332020213013133 has 24 divisors (see below), whose sum is σ = 490765325450400. Its totient is φ = 216187119721440.

The previous prime is 332020213013101. The next prime is 332020213013141. The reversal of 332020213013133 is 331310312020233.

332020213013133 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 20 + 21 + 301 + 313 + 3 = 666.

It is not a de Polignac number, because 332020213013133 - 25 = 332020213013101 is a prime.

It is a super-2 number, since 2×3320202130131332 (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 332020213013097 and 332020213013106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332020213013233) 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, 17052858 + ... + 30900491.

It is an arithmetic number, because the mean of its divisors is an integer number (20448555227100).

Almost surely, 2332020213013133 is an apocalyptic number.

It is an amenable number.

332020213013133 is a deficient number, since it is larger than the sum of its proper divisors (158745112437267).

332020213013133 is a wasteful number, since it uses less digits than its factorization.

332020213013133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47971289 (or 47971286 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332020213013133 its reverse (331310312020233), we get a palindrome (663330525033366).

The spelling of 332020213013133 in words is "three hundred thirty-two trillion, twenty billion, two hundred thirteen million, thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 43 129 387 17891 53673 161019 769313 2307939 6923817 47953349 143860047 431580141 2061994007 6185982021 18557946063 857933366959 2573800100877 7721400302631 36891134779237 110673404337711 332020213013133