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212211133322100 = 223521164306404037
BaseRepresentation
bin110000010000000101000001…
…001110000001001101110100
31000211101012000202022012122020
4300100011001032001031310
5210303331400112301400
62031200240535233140
762461514466055203
oct6020050116011564
91024335022265566
10212211133322100
1161687266477aa0
121b973b332187b0
139154568704b93
143a5910617b23a
151980172a5b2a0
hexc10141381374

212211133322100 has 72 divisors (see below), whose sum is σ = 669815504459808. Its totient is φ = 51445123228800.

The previous prime is 212211133322093. The next prime is 212211133322189. The reversal of 212211133322100 is 1223331112212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32153198719 + ... + 32153205318.

Almost surely, 2212211133322100 is an apocalyptic number.

212211133322100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211133322100 is an abundant number, since it is smaller than the sum of its proper divisors (457604371137708).

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

212211133322100 is a wasteful number, since it uses less digits than its factorization.

212211133322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64306404065 (or 64306404058 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 212211133322100 its reverse (1223331112212), we get a palindrome (213434464434312).

The spelling of 212211133322100 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred thirty-three million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 64306404037 128612808074 192919212111 257225616148 321532020185 385838424222 643064040370 707370444407 771676848444 964596060555 1286128080740 1414740888814 1607660100925 1929192121110 2122111333221 2829481777628 3215320201850 3536852222035 3858384242220 4244222666442 4822980302775 6430640403700 7073704444070 8488445332884 9645960605550 10610556666105 14147408888140 17684261110175 19291921211100 21221113332210 35368522220350 42442226664420 53052783330525 70737044440700 106105566661050 212211133322100