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10310112 = 253311933
BaseRepresentation
bin100111010101…
…000111100000
3201101210211000
4213111013200
510114410422
61004552000
7153430431
oct47250740
921353730
1010310112
11590215a
123552600
13219ca77
141525488
15d89cac
hex9d51e0

10310112 has 48 divisors (see below), whose sum is σ = 30073680. Its totient is φ = 3436416.

The previous prime is 10310107. The next prime is 10310117. The reversal of 10310112 is 21101301.

It is an interprime number because it is at equal distance from previous prime (10310107) and next prime (10310117).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10310094 and 10310103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5103 + ... + 6830.

It is an arithmetic number, because the mean of its divisors is an integer number (626535).

Almost surely, 210310112 is an apocalyptic number.

10310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10310112 is an abundant number, since it is smaller than the sum of its proper divisors (19763568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10310112 is a wasteful number, since it uses less digits than its factorization.

10310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11952 (or 11938 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10310112 is about 3210.9363120436. The cubic root of 10310112 is about 217.6478899064.

Adding to 10310112 its reverse (21101301), we get a palindrome (31411413).

The spelling of 10310112 in words is "ten million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11933 23866 35799 47732 71598 95464 107397 143196 190928 214794 286392 322191 381856 429588 572784 644382 859176 1145568 1288764 1718352 2577528 3436704 5155056 10310112