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393000012112131 = 3327752547133589
BaseRepresentation
bin101100101011011100111001…
…0000111100110000100000011
31220112111102201120002111111000
41121112321302013212010003
5403002403011100042011
63511501414013023043
7145531212443416344
oct13126716207460403
91815442646074430
10393000012112131
11104249407391386
12380b2050a84a83
1313b399855a3488
146d09432c860cb
153067c73a23356
hex1656e721e6103

393000012112131 has 16 divisors (see below), whose sum is σ = 584324125520800. Its totient is φ = 261054159665184.

The previous prime is 393000012112063. The next prime is 393000012112153. The reversal of 393000012112131 is 131211210000393.

393000012112131 is a `hidden beast` number, since 393 + 0 + 0 + 0 + 0 + 121 + 121 + 31 = 666.

It is not a de Polignac number, because 393000012112131 - 230 = 392998938370307 is a prime.

It is a super-2 number, since 2×3930000121121312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 393000012112095 and 393000012112104.

It is not an unprimeable number, because it can be changed into a prime (393000012112171) 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 15 ways as a sum of consecutive naturals, for example, 26273559316 + ... + 26273574273.

It is an arithmetic number, because the mean of its divisors is an integer number (36520257845050).

Almost surely, 2393000012112131 is an apocalyptic number.

393000012112131 is a deficient number, since it is larger than the sum of its proper divisors (191324113408669).

393000012112131 is a wasteful number, since it uses less digits than its factorization.

393000012112131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52547133875 (or 52547133869 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 393000012112131 in words is "three hundred ninety-three trillion, twelve million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 27 277 831 2493 7479 52547133589 157641400767 472924202301 1418772606903 14555556004153 43666668012459 131000004037377 393000012112131