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10220211221200 = 245282730895439
BaseRepresentation
bin1001010010111001010000…
…0011110011001011010000
31100012001011002111100120221
42110232110003303023100
52314421443033034300
633423033351442424
72103246235006411
oct224562403631320
940161132440527
1010220211221200
113290404880912
1211908b4086414
135919b9837c86
14274937599808
1512acb795731a
hex94b940f32d0

10220211221200 has 60 divisors (see below), whose sum is σ = 24583748771520. Its totient is φ = 4083141086080.

The previous prime is 10220211221183. The next prime is 10220211221201. The reversal of 10220211221200 is 212211202201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220211221201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 15116920 + ... + 15778519.

It is an arithmetic number, because the mean of its divisors is an integer number (409729146192).

Almost surely, 210220211221200 is an apocalyptic number.

10220211221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220211221200 is an abundant number, since it is smaller than the sum of its proper divisors (14363537550320).

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

10220211221200 is a wasteful number, since it uses less digits than its factorization.

10220211221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30896284 (or 30896273 counting only the distinct ones).

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

Adding to 10220211221200 its reverse (212211202201), we get a palindrome (10432422423401).

The spelling of 10220211221200 in words is "ten trillion, two hundred twenty billion, two hundred eleven million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 827 1654 3308 4135 6616 8270 13232 16540 20675 33080 41350 66160 82700 165400 330800 30895439 61790878 123581756 154477195 247163512 308954390 494327024 617908780 772385975 1235817560 1544771950 2471635120 3089543900 6179087800 12358175600 25550528053 51101056106 102202112212 127752640265 204404224424 255505280530 408808448848 511010561060 638763201325 1022021122120 1277526402650 2044042244240 2555052805300 5110105610600 10220211221200