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212445545544212 = 221014101411282133
BaseRepresentation
bin110000010011011111010101…
…010001101011101000010100
31000212012121002100020220101112
4300103133111101223220110
5210321201434124403322
62031500045234514152
762514453444062321
oct6023372521535024
91025177070226345
10212445545544212
1161767717019a82
121b9b1453435958
1391706b523b256
143a665c2683b48
1519862e21595e2
hexc137d546ba14

212445545544212 has 24 divisors (see below), whose sum is σ = 375461900161992. Its totient is φ = 105170723696000.

The previous prime is 212445545544179. The next prime is 212445545544217.

212445545544212 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 45620784627856 + 166824760916356 = 6754316^2 + 12916066^2 .

It is a super-3 number, since 3×2124455455442123 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212445545544217) 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 7 ways as a sum of consecutive naturals, for example, 165055898 + ... + 166338030.

It is an arithmetic number, because the mean of its divisors is an integer number (15644245840083).

Almost surely, 2212445545544212 is an apocalyptic number.

It is an amenable number.

212445545544212 is a deficient number, since it is larger than the sum of its proper divisors (163016354617780).

212445545544212 is a wasteful number, since it uses less digits than its factorization.

212445545544212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692379 (or 1692377 counting only the distinct ones).

The product of its digits is 10240000, while the sum is 50.

The spelling of 212445545544212 in words is "two hundred twelve trillion, four hundred forty-five billion, five hundred forty-five million, five hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 4 101 202 404 410141 820282 1282133 1640564 2564266 5128532 41424241 82848482 129495433 165696964 258990866 517981732 525855310753 1051710621506 2103421243012 53111386386053 106222772772106 212445545544212