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923131131329 = 11671252552417
BaseRepresentation
bin11010110111011101110…
…01110011010111000001
310021020202121002022012002
431123232321303113001
5110111033032200304
61544025223513345
7123460023102131
oct15335671632701
93236677068162
10923131131329
11326552504160
1212aaaa8b8855
1369087a6b974
143297348aac1
151902d0e031e
hexd6eee735c1

923131131329 has 8 divisors (see below), whose sum is σ = 1022082773088. Its totient is φ = 826684594560.

The previous prime is 923131131287. The next prime is 923131131337.

923131131329 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-923131131329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 923131131292 and 923131131301.

It is not an unprimeable number, because it can be changed into a prime (923131131359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 626275472 + ... + 626276945.

It is an arithmetic number, because the mean of its divisors is an integer number (127760346636).

Almost surely, 2923131131329 is an apocalyptic number.

It is an amenable number.

923131131329 is a deficient number, since it is larger than the sum of its proper divisors (98951641759).

923131131329 is a wasteful number, since it uses less digits than its factorization.

923131131329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252552495.

The product of its digits is 26244, while the sum is 38.

The spelling of 923131131329 in words is "nine hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 11 67 737 1252552417 13778076587 83921011939 923131131329