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212101013132310 = 235191039135810513
BaseRepresentation
bin110000001110011110011101…
…100010110101010000010110
31000210222122210021201221212110
4300032132131202311100112
5210300030333330213220
62031033505453331450
762450535554643201
oct6016363542652026
91023878707657773
10212101013132310
11616445974a6585
121b956720196b86
139147069345873
143a53a5b02c938
15197c37a121be0
hexc0e79d8b5416

212101013132310 has 64 divisors (see below), whose sum is σ = 535885720542720. Its totient is φ = 53578255633920.

The previous prime is 212101013132297. The next prime is 212101013132311. The reversal of 212101013132310 is 13231310101212.

It is a super-2 number, since 2×2121010131323102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212101013132311) 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 31 ways as a sum of consecutive naturals, for example, 11982387 + ... + 23828126.

It is an arithmetic number, because the mean of its divisors is an integer number (8373214383480).

Almost surely, 2212101013132310 is an apocalyptic number.

212101013132310 is an abundant number, since it is smaller than the sum of its proper divisors (323784707410410).

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

212101013132310 is a wasteful number, since it uses less digits than its factorization.

212101013132310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35820933.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 212101013132310 its reverse (13231310101212), we get a palindrome (225332323233522).

The spelling of 212101013132310 in words is "two hundred twelve trillion, one hundred one billion, thirteen million, one hundred thirty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 10391 20782 31173 51955 62346 103910 155865 197429 311730 394858 592287 987145 1184574 1974290 2961435 5922870 35810513 71621026 107431539 179052565 214863078 358105130 537157695 680399747 1074315390 1360799494 2041199241 3401998735 4082398482 6803997470 10205996205 20411992410 372107040583 744214081166 1116321121749 1860535202915 2232642243498 3721070405830 5581605608745 7070033771077 11163211217490 14140067542154 21210101313231 35350168855385 42420202626462 70700337710770 106050506566155 212101013132310