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10212313293 = 3272131781321
BaseRepresentation
bin10011000001011001…
…11000100011001101
3222100201021021012200
421200230320203031
5131403323011133
64405205152113
7511033142100
oct114054704315
928321237180
1010212313293
114370648146
121b900bb639
13c69996240
146cc42c737
153eb84a913
hex260b388cd

10212313293 has 36 divisors (see below), whose sum is σ = 18479434428. Its totient is φ = 5386711680.

The previous prime is 10212313273. The next prime is 10212313297. The reversal of 10212313293 is 39231321201.

10212313293 is a `hidden beast` number, since 102 + 1 + 231 + 329 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1070467524 + 9141845769 = 32718^2 + 95613^2 .

It is not a de Polignac number, because 10212313293 - 217 = 10212182221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212313297) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 884928 + ... + 896393.

It is an arithmetic number, because the mean of its divisors is an integer number (513317623).

Almost surely, 210212313293 is an apocalyptic number.

10212313293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10212313293 is a deficient number, since it is larger than the sum of its proper divisors (8267121135).

10212313293 is a wasteful number, since it uses less digits than its factorization.

10212313293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781354 (or 1781344 counting only the distinct ones).

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

Adding to 10212313293 its reverse (39231321201), we get a palindrome (49443634494).

The spelling of 10212313293 in words is "ten billion, two hundred twelve million, three hundred thirteen thousand, two hundred ninety-three".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 273 441 637 819 1911 5733 1781321 5343963 12469247 16031889 23157173 37407741 69471519 87284729 112223223 162100211 208414557 261854187 486300633 785562561 1134701477 1458901899 3404104431 10212313293