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221212112102200 = 235215733961207443
BaseRepresentation
bin110010010011000011110101…
…010111001010001100111000
31002000020200010102212012212101
4302103003311113022030320
5212443314401144232300
62102251235200353144
764411022233244662
oct6223036527121470
91060220112765771
10221212112102200
116453759132609a
12209884809157b4
13965829c2b229b
143c8aa1ac49532
151a8937c126b6a
hexc930f55ca338

221212112102200 has 96 divisors (see below), whose sum is σ = 517611808514160. Its totient is φ = 87918234393600.

The previous prime is 221212112102183. The next prime is 221212112102203. The reversal of 221212112102200 is 2201211212122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221212112102203) by changing a digit.

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, 1066271679 + ... + 1066479121.

Almost surely, 2221212112102200 is an apocalyptic number.

221212112102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212112102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258805904257080).

221212112102200 is an abundant number, since it is smaller than the sum of its proper divisors (296399696411960).

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

221212112102200 is a wasteful number, since it uses less digits than its factorization.

221212112102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241577 (or 241568 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221212112102200 its reverse (2201211212122), we get a palindrome (223413323314322).

The spelling of 221212112102200 in words is "two hundred twenty-one trillion, two hundred twelve billion, one hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 157 200 314 628 785 1256 1570 3140 3925 6280 7850 15700 31400 33961 67922 135844 169805 207443 271688 339610 414886 679220 829772 849025 1037215 1358440 1659544 1698050 2074430 3396100 4148860 5186075 5331877 6792200 8297720 10372150 10663754 20744300 21327508 26659385 32568551 41488600 42655016 53318770 65137102 106637540 130274204 133296925 162842755 213275080 260548408 266593850 325685510 533187700 651371020 814213775 1066375400 1302742040 1628427550 3256855100 6513710200 7044971723 14089943446 28179886892 35224858615 56359773784 70449717230 140899434460 176124293075 281798868920 352248586150 704497172300 1106060560511 1408994344600 2212121121022 4424242242044 5530302802555 8848484484088 11060605605110 22121211210220 27651514012775 44242422420440 55303028025550 110606056051100 221212112102200