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212100247431 = 32172814933367
BaseRepresentation
bin1100010110001000101…
…0001110111110000111
3202021110122000221110200
43011202022032332013
511433340130404211
6241234300221543
721216020233212
oct3054212167607
9667418027420
10212100247431
1181a51073196
1235133b3a8b3
1317002182cb7
14a3a1156779
1557b58e7b56
hex316228ef87

212100247431 has 24 divisors (see below), whose sum is σ = 325543087584. Its totient is φ = 132608878080.

The previous prime is 212100247427. The next prime is 212100247441. The reversal of 212100247431 is 134742001212.

212100247431 is a `hidden beast` number, since 212 + 10 + 0 + 2 + 4 + 7 + 431 = 666.

212100247431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212100247431 - 22 = 212100247427 is a prime.

It is a super-2 number, since 2×2121002474312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212100247395 and 212100247404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100247441) 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 23 ways as a sum of consecutive naturals, for example, 2423691 + ... + 2509676.

It is an arithmetic number, because the mean of its divisors is an integer number (13564295316).

Almost surely, 2212100247431 is an apocalyptic number.

212100247431 is a deficient number, since it is larger than the sum of its proper divisors (113442840153).

212100247431 is a wasteful number, since it uses less digits than its factorization.

212100247431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4933671 (or 4933668 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 212100247431 its reverse (134742001212), we get a palindrome (346842248643).

The spelling of 212100247431 in words is "two hundred twelve billion, one hundred million, two hundred forty-seven thousand, four hundred thirty-one".

Divisors: 1 3 9 17 51 153 281 843 2529 4777 14331 42993 4933367 14800101 44400303 83867239 251601717 754805151 1386276127 4158828381 12476485143 23566694159 70700082477 212100247431