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212302101332013 = 37112941467764261
BaseRepresentation
bin110000010001011001101111…
…010101011100000000101101
31000211200212211110122220201120
4300101121233111130000231
5210311324200420111023
62031310123335331153
762501214661305120
oct6021315725340055
91024625743586646
10212302101332013
11617118a7552280
121b9896a0220ab9
139160004c43594
143a5d69585a3b7
1519826e8d9a8e3
hexc1166f55c02d

212302101332013 has 64 divisors (see below), whose sum is σ = 365096639416320. Its totient is φ = 106481105337600.

The previous prime is 212302101332003. The next prime is 212302101332017. The reversal of 212302101332013 is 310233101203212.

It is not a de Polignac number, because 212302101332013 - 24 = 212302101331997 is a prime.

It is a super-3 number, since 3×2123021013320133 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212302101332017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 277405303 + ... + 278169563.

It is an arithmetic number, because the mean of its divisors is an integer number (5704634990880).

Almost surely, 2212302101332013 is an apocalyptic number.

It is an amenable number.

212302101332013 is a deficient number, since it is larger than the sum of its proper divisors (152794538084307).

212302101332013 is a wasteful number, since it uses less digits than its factorization.

212302101332013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805778.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212302101332013 its reverse (310233101203212), we get a palindrome (522535202535225).

The spelling of 212302101332013 in words is "two hundred twelve trillion, three hundred two billion, one hundred one million, three hundred thirty-two thousand, thirteen".

Divisors: 1 3 7 11 21 29 33 77 87 203 231 319 609 957 2233 6699 41467 124401 290269 456137 764261 870807 1202543 1368411 2292783 3192959 3607629 5349827 8406871 8417801 9578877 13227973 16049481 22163569 25220613 25253403 39683919 58848097 66490707 92595811 155144983 176544291 243799259 277787433 465434949 731397777 1706594813 5119784439 31691610887 95074832661 221841276209 348607719757 665523828627 919056715723 1045823159271 2440254038299 2757170147169 6433397010061 7320762114897 10109623872953 19300191030183 30328871618859 70767367110671 212302101332013