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212012300241 = 32710366149429
BaseRepresentation
bin1100010101110011101…
…0101111011111010001
3202021020111112202121100
43011130322233133101
511433200122101431
6241221435215013
721213601550340
oct3053472573721
9667214482540
10212012300241
1181a06464165
123510a5a7469
1316cb9b9c541
14a3935c1b57
1557acd244e6
hex315ceaf7d1

212012300241 has 48 divisors (see below), whose sum is σ = 353928290560. Its totient is φ = 119789746560.

The previous prime is 212012300239. The next prime is 212012300251. The reversal of 212012300241 is 142003210212.

It is a happy number.

212012300241 is a `hidden beast` number, since 2 + 120 + 1 + 2 + 300 + 241 = 666.

It is not a de Polignac number, because 212012300241 - 21 = 212012300239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212012300221) 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, 4264515 + ... + 4313943.

Almost surely, 2212012300241 is an apocalyptic number.

212012300241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212012300241 is a deficient number, since it is larger than the sum of its proper divisors (141915990319).

212012300241 is a wasteful number, since it uses less digits than its factorization.

212012300241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50206 (or 50203 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 212012300241 its reverse (142003210212), we get a palindrome (354015510453).

The spelling of 212012300241 in words is "two hundred twelve billion, twelve million, three hundred thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 103 309 661 721 927 1983 2163 4627 5949 6489 13881 41643 49429 68083 148287 204249 346003 444861 476581 612747 1038009 1429743 3114027 4289229 5091187 15273561 32672569 35638309 45820683 98017707 106914927 228707983 294053121 320744781 686123949 2058371847 3365274607 10095823821 23556922249 30287471463 70670766747 212012300241