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93443131431 = 321319140929833
BaseRepresentation
bin101011100000110100…
…1010000100000100111
322221012012201220111200
41113001221100200213
53012332420201211
6110532134333543
76515415340416
oct1270151204047
9287165656450
1093443131431
11366a1236761
1216139aba2b3
138a7226a060
1447462d547d
15266d7a3b56
hex15c1a50827

93443131431 has 48 divisors (see below), whose sum is σ = 153120021600. Its totient is φ = 54436478976.

The previous prime is 93443131427. The next prime is 93443131459. The reversal of 93443131431 is 13413134439.

93443131431 is a `hidden beast` number, since 93 + 4 + 4 + 3 + 131 + 431 = 666.

It is not a de Polignac number, because 93443131431 - 22 = 93443131427 is a prime.

It is a super-2 number, since 2×934431314312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93443131631) 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, 3117291 + ... + 3147123.

It is an arithmetic number, because the mean of its divisors is an integer number (3190000450).

Almost surely, 293443131431 is an apocalyptic number.

93443131431 is a deficient number, since it is larger than the sum of its proper divisors (59676890169).

93443131431 is a wasteful number, since it uses less digits than its factorization.

93443131431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31280 (or 31277 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The spelling of 93443131431 in words is "ninety-three billion, four hundred forty-three million, one hundred thirty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 1409 2223 4227 12681 18317 26771 29833 54951 80313 89499 164853 240939 268497 348023 387829 566827 1044069 1163487 1700481 3132207 3490461 5101443 7368751 22106253 42034697 66318759 126104091 378312273 546451061 798659243 1639353183 2395977729 4918059549 7187933187 10382570159 31147710477 93443131431