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212311300210300 = 225223303217304433
BaseRepresentation
bin110000010001100010010011…
…101000010111111001111100
31000211201202120112222100110101
4300101202103220113321330
5210312002020323212200
62031314244223250444
762501661640422214
oct6021422350277174
91024652515870411
10212311300210300
116171579802a725
121b98b428a49a24
139160b3c977425
143a5dcc9441244
151982a8675e26a
hexc11893a17e7c

212311300210300 has 72 divisors (see below), whose sum is σ = 480749795731296. Its totient is φ = 81231614914560.

The previous prime is 212311300210267. The next prime is 212311300210319. The reversal of 212311300210300 is 3012003113212.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 697246884 + ... + 697551316.

It is an arithmetic number, because the mean of its divisors is an integer number (6677080496268).

Almost surely, 2212311300210300 is an apocalyptic number.

212311300210300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212311300210300 is an abundant number, since it is smaller than the sum of its proper divisors (268438495520996).

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

212311300210300 is a wasteful number, since it uses less digits than its factorization.

212311300210300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607687 (or 607680 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 212311300210300 its reverse (3012003113212), we get a palindrome (215323303323512).

The spelling of 212311300210300 in words is "two hundred twelve trillion, three hundred eleven billion, three hundred million, two hundred ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 303217 304433 606434 608866 1212868 1217732 1516085 1522165 3032170 3044330 6064340 6088660 6973991 7001959 7580425 7610825 13947982 14003918 15160850 15221650 27895964 28007836 30321700 30443300 34869955 35009795 69739910 70019590 139479820 140039180 174349775 175048975 348699550 350097950 697399100 700195900 92309260961 184618521922 369237043844 461546304805 923092609610 1846185219220 2123113002103 2307731524025 4246226004206 4615463048050 8492452008412 9230926096100 10615565010515 21231130021030 42462260042060 53077825052575 106155650105150 212311300210300