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10424131101333 = 333711701891767
BaseRepresentation
bin1001011110110000111010…
…1000011010001010010101
31100220112111121201120202000
42113230032220122022111
52331242110030220313
634100440230305513
72124055454254365
oct227541650321225
940815447646660
1010424131101333
113359938282a74
1212043244b8299
135a7cb6ca5a41
142807600d69a5
151312500c7673
hex97b0ea1a295

10424131101333 has 32 divisors (see below), whose sum is σ = 15861913086720. Its totient is φ = 6761013105600.

The previous prime is 10424131101289. The next prime is 10424131101367. The reversal of 10424131101333 is 33310113142401.

10424131101333 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 413 + 110 + 133 + 3 = 666.

It is not a de Polignac number, because 10424131101333 - 28 = 10424131101077 is a prime.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10424131101297 and 10424131101306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424131601333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11243416 + ... + 12135182.

It is an arithmetic number, because the mean of its divisors is an integer number (495684783960).

Almost surely, 210424131101333 is an apocalyptic number.

It is an amenable number.

10424131101333 is a deficient number, since it is larger than the sum of its proper divisors (5437781985387).

10424131101333 is a wasteful number, since it uses less digits than its factorization.

10424131101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903514 (or 903508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10424131101333 its reverse (33310113142401), we get a palindrome (43734244243734).

The spelling of 10424131101333 in words is "ten trillion, four hundred twenty-four billion, one hundred thirty-one million, one hundred one thousand, three hundred thirty-three".

Divisors: 1 3 9 27 37 111 333 999 11701 35103 105309 315927 432937 891767 1298811 2675301 3896433 8025903 11689299 24077709 32995379 98986137 296958411 890875233 10434565667 31303697001 93911091003 281733273009 386078929679 1158236789037 3474710367111 10424131101333