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212231010020202 = 23319217096370387
BaseRepresentation
bin110000010000010111100001…
…111101100110101101101010
31000211110002022222211002111000
4300100113201331212231222
5210304143102031121302
62031213325142015430
762463120163156305
oct6020274175465552
91024402288732430
10212231010020202
116169473633a518
121b97795ba17576
1391563b569a9c4
143a5a06dd27b3c
151980937a6d31c
hexc105e1f66b6a

212231010020202 has 96 divisors (see below), whose sum is σ = 498044578305600. Its totient is φ = 66981092336928.

The previous prime is 212231010020201. The next prime is 212231010020207. The reversal of 212231010020202 is 202020010132212.

212231010020202 is a `hidden beast` number, since 2 + 122 + 310 + 10 + 0 + 20 + 202 = 666.

212231010020202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122310100202022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (212231010020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30130053 + ... + 36500439.

It is an arithmetic number, because the mean of its divisors is an integer number (5187964357350).

Almost surely, 2212231010020202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212231010020202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249022289152800).

212231010020202 is an abundant number, since it is smaller than the sum of its proper divisors (285813568285398).

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

212231010020202 is a wasteful number, since it uses less digits than its factorization.

212231010020202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6372145 (or 6372120 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212231010020202 its reverse (202020010132212), we get a palindrome (414251020152414).

The spelling of 212231010020202 in words is "two hundred twelve trillion, two hundred thirty-one billion, ten million, twenty thousand, two hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 361 513 722 1026 1083 1709 2166 3249 3418 5127 6498 9747 10254 15381 19494 30762 32471 46143 64942 92286 97413 194826 292239 584478 616949 876717 1233898 1753434 1850847 3701694 5552541 6370387 11105082 12740774 16657623 19111161 33315246 38222322 57333483 114666966 121037353 172000449 242074706 344000898 363112059 726224118 1089336177 2178672354 2299709707 3268008531 4599419414 6536017062 6899129121 10886991383 13798258242 20697387363 21773982766 32660974149 41394774726 62092162089 65321948298 97982922447 124184324178 195965844894 206852836277 293948767341 413705672554 587897534682 620558508831 1241117017662 1861675526493 3723351052986 3930203889263 5585026579479 7860407778526 11170053158958 11790611667789 23581223335578 35371835003367 70743670006734 106115505010101 212231010020202