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431112322113 = 31129731213923
BaseRepresentation
bin1100100011000000100…
…10111111110001000001
31112012202221220002110020
412101200102333301001
524030404223301423
6530014505124053
743101236163324
oct6214022776101
91465687802406
10431112322113
11156919737500
126b676789629
13318662a98b5
1416c1a2367bb
15b332ede4e3
hex64604bfc41

431112322113 has 48 divisors (see below), whose sum is σ = 638703955008. Its totient is φ = 258437836800.

The previous prime is 431112322099. The next prime is 431112322159. The reversal of 431112322113 is 311223211134.

It is not a de Polignac number, because 431112322113 - 216 = 431112256577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (431112322183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109891570 + ... + 109895492.

It is an arithmetic number, because the mean of its divisors is an integer number (13306332396).

Almost surely, 2431112322113 is an apocalyptic number.

It is an amenable number.

431112322113 is a deficient number, since it is larger than the sum of its proper divisors (207591632895).

431112322113 is a wasteful number, since it uses less digits than its factorization.

431112322113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7166 (or 7155 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 431112322113 its reverse (311223211134), we get a palindrome (742335533247).

The spelling of 431112322113 in words is "four hundred thirty-one billion, one hundred twelve million, three hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 3 11 33 97 121 291 363 1067 3121 3201 3923 9363 11737 11769 34331 35211 43153 102993 129459 302737 377641 380531 474683 908211 1132923 1141593 1424049 3330107 4185841 9990321 12243683 12557523 36631177 36731049 46044251 109893531 134680513 138132753 404041539 1187637251 1481485643 3562911753 4444456929 13064009761 39192029283 143704107371 431112322113