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212424440433 = 31924118126431
BaseRepresentation
bin1100010111010101111…
…0111011101001110001
3202022022020001122122220
43011311132323221301
511440021124043213
6241330400551253
721230034644262
oct3056536735161
9668266048586
10212424440433
11820a8071197
1235204622529
13170543a188a
14a3d2226969
1557d40d4e23
hex31757bba71

212424440433 has 48 divisors (see below), whose sum is σ = 307918420992. Its totient is φ = 130162464000.

The previous prime is 212424440419. The next prime is 212424440477. The reversal of 212424440433 is 334044424212.

It is not a de Polignac number, because 212424440433 - 26 = 212424440369 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212424440394 and 212424440403.

It is not an unprimeable number, because it can be changed into a prime (212424440633) 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 47 ways as a sum of consecutive naturals, for example, 8023728 + ... + 8050158.

It is an arithmetic number, because the mean of its divisors is an integer number (6414967104).

Almost surely, 2212424440433 is an apocalyptic number.

It is an amenable number.

212424440433 is a deficient number, since it is larger than the sum of its proper divisors (95493980559).

212424440433 is a wasteful number, since it uses less digits than its factorization.

212424440433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26694 (or 26675 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 212424440433 its reverse (334044424212), we get a palindrome (546468864645).

The spelling of 212424440433 in words is "two hundred twelve billion, four hundred twenty-four million, four hundred forty thousand, four hundred thirty-three".

Divisors: 1 3 19 41 57 123 181 361 543 779 1083 2337 3439 7421 10317 14801 22263 26431 44403 65341 79293 140999 196023 422997 502189 1083671 1506567 2678981 3251013 4784011 8036943 9541591 14352033 20589749 28624773 61769247 90896209 196144451 272688627 391205231 588433353 1173615693 1727027971 3726744569 5181083913 11180233707 70808146811 212424440433