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10431312331 = 111039679521
BaseRepresentation
bin10011011011100000…
…10011000111001011
3222220222100120102011
421231300103013023
5132330403443311
64443031120351
7516332456206
oct115560230713
928828316364
1010431312331
114473227390
1220315130b7
13ca317317b
1470d55893d
15410ba9321
hex26dc131cb

10431312331 has 16 divisors (see below), whose sum is σ = 11503185408. Its totient is φ = 9380246400.

The previous prime is 10431312323. The next prime is 10431312347. The reversal of 10431312331 is 13321313401.

10431312331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10431312331 - 23 = 10431312323 is a prime.

It is a super-2 number, since 2×104313123312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10431312371) 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 15 ways as a sum of consecutive naturals, for example, 1090851 + ... + 1100371.

It is an arithmetic number, because the mean of its divisors is an integer number (718949088).

Almost surely, 210431312331 is an apocalyptic number.

10431312331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10431312331 is a deficient number, since it is larger than the sum of its proper divisors (1071873077).

10431312331 is a wasteful number, since it uses less digits than its factorization.

10431312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10602.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10431312331 its reverse (13321313401), we get a palindrome (23752625732).

The spelling of 10431312331 in words is "ten billion, four hundred thirty-one million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 11 103 967 1133 9521 10637 99601 104731 980663 1095611 9206807 10787293 101274877 948301121 10431312331