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212404441421300 = 22526138989512597
BaseRepresentation
bin110000010010111001000011…
…010001111001010111110100
31000212001122222201121002222212
4300102321003101321113310
5210320013244000440200
62031425130414512552
762511500031564302
oct6022710321712764
91025048881532885
10212404441421300
11617512438a0067
121b9a54a1805758
1391698644c352b
143a646035c3272
1519851d8775035
hexc12e434795f4

212404441421300 has 72 divisors (see below), whose sum is σ = 469677972461880. Its totient is φ = 83354129395200.

The previous prime is 212404441421257. The next prime is 212404441421309. The reversal of 212404441421300 is 3124144404212.

It can be written as a sum of positive squares in 12 ways, for example, as 117449628906724 + 94954812514576 = 10837418^2 + 9744476^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212404441421309) 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, 42383399 + ... + 47129198.

Almost surely, 2212404441421300 is an apocalyptic number.

212404441421300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212404441421300 is an abundant number, since it is smaller than the sum of its proper divisors (257273531040580).

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

212404441421300 is a wasteful number, since it uses less digits than its factorization.

212404441421300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89513061 (or 89513054 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 212404441421300 its reverse (3124144404212), we get a palindrome (215528585825512).

The spelling of 212404441421300 in words is "two hundred twelve trillion, four hundred four billion, four hundred forty-one million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 389 610 778 1220 1525 1556 1945 3050 3890 6100 7780 9725 19450 23729 38900 47458 94916 118645 237290 474580 593225 1186450 2372900 89512597 179025194 358050388 447562985 895125970 1790251940 2237814925 4475629850 5460268417 8951259700 10920536834 21841073668 27301342085 34820400233 54602684170 69640800466 109205368340 136506710425 139281600932 174102001165 273013420850 348204002330 546026841700 696408004660 870510005825 1741020011650 2124044414213 3482040023300 4248088828426 8496177656852 10620222071065 21240444142130 42480888284260 53101110355325 106202220710650 212404441421300