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10312231293 = 3271398312809
BaseRepresentation
bin10011001101010100…
…00010100101111101
3222121200021121221100
421212222002211331
5132104412400133
64423134523313
7513355343160
oct114652024575
928550247840
1010312231293
114411a93001
121bb9666539
13c845ab610
146db7dbad7
154054d5e13
hex266a8297d

10312231293 has 48 divisors (see below), whose sum is σ = 18352938240. Its totient is φ = 5433460992.

The previous prime is 10312231291. The next prime is 10312231301. The reversal of 10312231293 is 39213221301.

10312231293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10312231293 - 21 = 10312231291 is a prime.

It is a super-2 number, since 2×103122312932 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10312231291) 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, 798673 + ... + 811481.

It is an arithmetic number, because the mean of its divisors is an integer number (382352880).

Almost surely, 210312231293 is an apocalyptic number.

10312231293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10312231293 is a deficient number, since it is larger than the sum of its proper divisors (8040706947).

10312231293 is a wasteful number, since it uses less digits than its factorization.

10312231293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13818 (or 13815 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10312231293 its reverse (39213221301), we get a palindrome (49525452594).

The spelling of 10312231293 in words is "ten billion, three hundred twelve million, two hundred thirty-one thousand, two hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 983 2949 6881 8847 12779 12809 20643 38337 38427 61929 89453 89663 115011 115281 166517 268359 268989 499551 805077 806967 1165619 1498653 3496857 10490571 12591247 37773741 88138729 113321223 163686211 264416187 491058633 793248561 1145803477 1473175899 3437410431 10312231293