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32120212011021 = 3253911295325031
BaseRepresentation
bin1110100110110100100011…
…10100111011100000001101
311012201122212210122111101200
413103122101310323200031
513202224143233323041
6152151453252500113
76523415540210511
oct723322164734015
9135648783574350
1032120212011021
11a264118342a82
12372914201a639
1314bcbcca8bc94
147d08ab3b0141
153aa7c168a1b6
hex1d3691d3b80d

32120212011021 has 48 divisors (see below), whose sum is σ = 47341061494272. Its totient is φ = 20978439955200.

The previous prime is 32120212011007. The next prime is 32120212011029. The reversal of 32120212011021 is 12011021202123.

32120212011021 is a `hidden beast` number, since 321 + 2 + 0 + 212 + 0 + 110 + 21 = 666.

It is not a de Polignac number, because 32120212011021 - 222 = 32120207816717 is a prime.

It is a super-3 number, since 3×321202120110213 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 32120212010985 and 32120212011003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32120212011029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1283204776 + ... + 1283229806.

It is an arithmetic number, because the mean of its divisors is an integer number (986272114464).

Almost surely, 232120212011021 is an apocalyptic number.

It is an amenable number.

32120212011021 is a deficient number, since it is larger than the sum of its proper divisors (15220849483251).

32120212011021 is a wasteful number, since it uses less digits than its factorization.

32120212011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28954 (or 28951 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 32120212011021 its reverse (12011021202123), we get a palindrome (44131233213144).

The spelling of 32120212011021 in words is "thirty-two trillion, one hundred twenty billion, two hundred twelve million, eleven thousand, twenty-one".

Divisors: 1 3 9 53 159 477 911 2733 2953 8199 8859 25031 26577 48283 75093 144849 156509 225279 434547 469527 1326643 1408581 2690183 3979929 8070549 11939787 22803241 24211647 68409723 73916543 142579699 205229169 221749629 427739097 665248887 1208571773 1283217291 3625715319 3917576779 10877145957 11752730337 35258191011 67337970673 202013912019 606041736057 3568912445669 10706737337007 32120212011021