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102043431 = 32722979101
BaseRepresentation
bin1100001010100…
…00111100100111
321010000100021100
412011100330213
5202110342211
614043051143
72346232500
oct605207447
9233010240
10102043431
1152667816
122a210ab3
13181aa939
14d7a3ba7
158e5a156
hex6150f27

102043431 has 72 divisors (see below), whose sum is σ = 181396800. Its totient is φ = 55036800.

The previous prime is 102043421. The next prime is 102043441. The reversal of 102043431 is 134340201.

It is an interprime number because it is at equal distance from previous prime (102043421) and next prime (102043441).

It is not a de Polignac number, because 102043431 - 27 = 102043303 is a prime.

It is a super-2 number, since 2×1020434312 = 20825723620503522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102043421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1010281 + ... + 1010381.

It is an arithmetic number, because the mean of its divisors is an integer number (2519400).

Almost surely, 2102043431 is an apocalyptic number.

102043431 is a deficient number, since it is larger than the sum of its proper divisors (79353369).

102043431 is a wasteful number, since it uses less digits than its factorization.

102043431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102043431 is about 10101.6548644269. The cubic root of 102043431 is about 467.2991784285.

Adding to 102043431 its reverse (134340201), we get a palindrome (236383632).

The spelling of 102043431 in words is "one hundred two million, forty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 29 49 63 79 87 101 147 203 237 261 303 441 553 609 707 711 909 1421 1659 1827 2121 2291 2929 3871 4263 4949 4977 6363 6873 7979 8787 11613 12789 14847 16037 20503 20619 23937 26361 34839 44541 48111 55853 61509 71811 112259 143521 144333 167559 184527 231391 336777 390971 430563 502677 694173 1010331 1172913 1291689 1619737 2082519 3518739 4859211 11338159 14577633 34014477 102043431