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212102210202100 = 225222932587284227
BaseRepresentation
bin110000001110011111100100…
…111001010010100111110100
31000210222202212201020101220121
4300032133210321102213310
5210300040311302431400
62031034224334541324
762450610331605451
oct6016374471224764
91023882781211817
10212102210202100
1161645051190859
121b9569b5067844
1391471ca35239a
143a53b31dd8828
15197c3ea27e21a
hexc0e7e4e529f4

212102210202100 has 72 divisors (see below), whose sum is σ = 462287485214240. Its totient is φ = 84467510536320.

The previous prime is 212102210202073. The next prime is 212102210202107. The reversal of 212102210202100 is 1202012201212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102210202107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746100187 + ... + 746384413.

Almost surely, 2212102210202100 is an apocalyptic number.

212102210202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102210202100 is an abundant number, since it is smaller than the sum of its proper divisors (250185275012140).

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

212102210202100 is a wasteful number, since it uses less digits than its factorization.

212102210202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317057 (or 317050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212102210202100 its reverse (1202012201212), we get a palindrome (213304222403312).

The spelling of 212102210202100 in words is "two hundred twelve trillion, one hundred two billion, two hundred ten million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 32587 65174 130348 162935 284227 325870 568454 651740 814675 1136908 1421135 1629350 2842270 3258700 5684540 7105675 7462423 14211350 14924846 28422700 29849692 37312115 65087983 74624230 130175966 149248460 186560575 260351932 325439915 373121150 650879830 746242300 1301759660 1627199575 3254399150 6508798300 9262105249 18524210498 37048420996 46310526245 92621052490 185242104980 231552631225 463105262450 926210524900 2121022102021 4242044204042 8484088408084 10605110510105 21210221020210 42420442040420 53025552550525 106051105101050 212102210202100