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10000232313 = 3293725112377
BaseRepresentation
bin10010101000000111…
…10110111101111001
3221210221012102210120
421110003312331321
5130440024413223
64332151403453
7502546400151
oct112403667571
927727172716
1010000232313
114271963605
121b31083589
13c34a6c136
146ac1c3761
153d7e06be3
hex2540f6f79

10000232313 has 32 divisors (see below), whose sum is σ = 14223807360. Its totient is φ = 6237504000.

The previous prime is 10000232287. The next prime is 10000232449. The reversal of 10000232313 is 31323200001.

It is not a de Polignac number, because 10000232313 - 225 = 9966677881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000232292 and 10000232301.

It is not an unprimeable number, because it can be changed into a prime (10000232713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801781 + ... + 814157.

It is an arithmetic number, because the mean of its divisors is an integer number (444493980).

Almost surely, 210000232313 is an apocalyptic number.

It is an amenable number.

10000232313 is a deficient number, since it is larger than the sum of its proper divisors (4223575047).

10000232313 is a wasteful number, since it uses less digits than its factorization.

10000232313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12697.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10000232313 its reverse (31323200001), we get a palindrome (41323432314).

The spelling of 10000232313 in words is "ten billion, two hundred thirty-two thousand, three hundred thirteen".

Divisors: 1 3 29 37 87 111 251 753 1073 3219 7279 9287 12377 21837 27861 37131 269323 358933 457949 807969 1076799 1373847 3106627 9319881 13280521 39841563 90092183 114945199 270276549 344835597 3333410771 10000232313