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103112313 = 32947151167
BaseRepresentation
bin1100010010101…
…01111001111001
321012000122111120
412021111321321
5202344043223
614122015453
72361303663
oct611257171
9235018446
10103112313
1153227897
122a647589
1318493305
14d9a1533
1590bbbe3
hex6255e79

103112313 has 32 divisors (see below), whose sum is σ = 147087360. Its totient is φ = 64142400.

The previous prime is 103112309. The next prime is 103112329. The reversal of 103112313 is 313211301.

It is not a de Polignac number, because 103112313 - 22 = 103112309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103112292 and 103112301.

It is not an unprimeable number, because it can be changed into a prime (103112393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617356 + ... + 617522.

It is an arithmetic number, because the mean of its divisors is an integer number (4596480).

Almost surely, 2103112313 is an apocalyptic number.

It is an amenable number.

103112313 is a deficient number, since it is larger than the sum of its proper divisors (43975047).

103112313 is a wasteful number, since it uses less digits than its factorization.

103112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103112313 is about 10154.4233218829. The cubic root of 103112313 is about 468.9251323552.

Adding to 103112313 its reverse (313211301), we get a palindrome (416323614).

The spelling of 103112313 in words is "one hundred three million, one hundred twelve thousand, three hundred thirteen".

Divisors: 1 3 29 47 87 141 151 167 453 501 1363 4089 4379 4843 7097 7849 13137 14529 21291 23547 25217 75651 205813 227621 617439 682863 731293 1185199 2193879 3555597 34370771 103112313