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10311000224 = 25726575893
BaseRepresentation
bin10011001101001010…
…10110000010100000
3222121120222002020012
421212211112002200
5132104104001344
64423052304052
7513342025100
oct114645260240
928546862205
1010311000224
114411322098
121bb9172028
13c8426a185
146db59b200
1540534129e
hex2669560a0

10311000224 has 36 divisors (see below), whose sum is σ = 23614035354. Its totient is φ = 4418999424.

The previous prime is 10311000209. The next prime is 10311000233. The reversal of 10311000224 is 42200011301.

It can be written as a sum of positive squares in only one way, i.e., 9631459600 + 679540624 = 98140^2 + 26068^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10311000199 and 10311000208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3286379 + ... + 3289514.

Almost surely, 210311000224 is an apocalyptic number.

10311000224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10311000224 is an abundant number, since it is smaller than the sum of its proper divisors (13303035130).

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

10311000224 is an equidigital number, since it uses as much as digits as its factorization.

10311000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6575917 (or 6575902 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 10311000224 its reverse (42200011301), we get a palindrome (52511011525).

The spelling of 10311000224 in words is "ten billion, three hundred eleven million, two hundred twenty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 6575893 13151786 26303572 46031251 52607144 92062502 105214288 184125004 210428576 322218757 368250008 644437514 736500016 1288875028 1473000032 2577750056 5155500112 10311000224