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212264811669900 = 223521125847515473
BaseRepresentation
bin110000010000110111000000…
…101100101010100110001100
31000211120022120200120210211210
4300100313000230222212030
5210310221313241414100
62031241035220414420
762465424624355053
oct6020670054524614
91024508520523753
10212264811669900
11616a8001501200
121b982413b47410
139159641557062
143a5b95921339a
1519817652dbc50
hexc10dc0b2a98c

212264811669900 has 108 divisors (see below), whose sum is σ = 675060576380456. Its totient is φ = 51458136153600.

The previous prime is 212264811669851. The next prime is 212264811669917. The reversal of 212264811669900 is 9966118462212.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2923721437 + ... + 2923794036.

Almost surely, 2212264811669900 is an apocalyptic number.

212264811669900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212264811669900 is an abundant number, since it is smaller than the sum of its proper divisors (462795764710556).

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

212264811669900 is a wasteful number, since it uses less digits than its factorization.

212264811669900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847515512 (or 5847515494 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 212264811669900 in words is "two hundred twelve trillion, two hundred sixty-four billion, eight hundred eleven million, six hundred sixty-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 7260 9075 12100 18150 36300 5847515473 11695030946 17542546419 23390061892 29237577365 35085092838 58475154730 64322670203 70170185676 87712732095 116950309460 128645340406 146187886825 175425464190 192968010609 257290680812 292375773650 321613351015 350850928380 385936021218 438563660475 584751547300 643226702030 707549372233 771872042436 877127320950 964840053045 1286453404060 1415098744466 1608066755075 1754254641900 1929680106090 2122648116699 2830197488932 3216133510150 3537746861165 3859360212180 4245296233398 4824200265225 6432267020300 7075493722330 8490592466796 9648400530450 10613240583495 14150987444660 17688734305825 19296801060900 21226481166990 35377468611650 42452962333980 53066202917475 70754937223300 106132405834950 212264811669900