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212124422143431 = 32737271133567491
BaseRepresentation
bin110000001110110100010000…
…110101000111110111000111
31000211001220012200220221020100
4300032310100311013313013
5210300421304032042211
62031052340401535143
762452324633155060
oct6016642065076707
91024056180827210
10212124422143431
116165350a256066
121b95b1739444b3
13914932a07ca35
143a54c3bd89567
15197cc9a2c5156
hexc0ed10d47dc7

212124422143431 has 48 divisors (see below), whose sum is σ = 359770471377408. Its totient is φ = 117894395678400.

The previous prime is 212124422143421. The next prime is 212124422143441. The reversal of 212124422143431 is 134341224421212.

212124422143431 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 4 + 4 + 2 + 214 + 3 + 431 = 666.

212124422143431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212124422143421) and next prime (212124422143441).

It is not a de Polignac number, because 212124422143431 - 25 = 212124422143399 is a prime.

It is a super-2 number, since 2×2121244221434312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212124422143421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10464405 + ... + 23103086.

It is an arithmetic number, because the mean of its divisors is an integer number (7495218153696).

Almost surely, 2212124422143431 is an apocalyptic number.

212124422143431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

212124422143431 is a deficient number, since it is larger than the sum of its proper divisors (147646049233977).

212124422143431 is a wasteful number, since it uses less digits than its factorization.

212124422143431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33570252 (or 33570249 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 212124422143431 its reverse (134341224421212), we get a palindrome (346465646564643).

The spelling of 212124422143431 in words is "two hundred twelve trillion, one hundred twenty-four billion, four hundred twenty-two million, one hundred forty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 37 63 111 259 333 777 2331 2711 8133 18977 24399 56931 100307 170793 300921 702149 902763 2106447 6319341 33567491 100702473 234972437 302107419 704917311 1241997167 2114751933 3725991501 8693980169 11177974503 26081940507 78245821521 91001468101 273004404303 637010276707 819013212909 1911030830121 3367054319737 5733092490363 10101162959211 23569380238159 30303488877633 70708140714477 212124422143431