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10306281324 = 22323239156241
BaseRepresentation
bin10011001100100110…
…10101111101101100
3222121021002100010010
421212103111331230
5132101402000244
64422403213220
7513253642263
oct114623257554
928537070103
1010306281324
114409699779
121bb7677210
13c832a7321
146daacd5da
15404c0ceb9
hex2664d5f6c

10306281324 has 48 divisors (see below), whose sum is σ = 25198709760. Its totient is φ = 3272290560.

The previous prime is 10306281299. The next prime is 10306281329. The reversal of 10306281324 is 42318260301.

It is a junction number, because it is equal to n+sod(n) for n = 10306281291 and 10306281300.

It is not an unprimeable number, because it can be changed into a prime (10306281329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12157 + ... + 144084.

It is an arithmetic number, because the mean of its divisors is an integer number (524973120).

Almost surely, 210306281324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10306281324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599354880).

10306281324 is an abundant number, since it is smaller than the sum of its proper divisors (14892428436).

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

10306281324 is a wasteful number, since it uses less digits than its factorization.

10306281324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156510 (or 156508 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 10306281324 in words is "ten billion, three hundred six million, two hundred eighty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 239 276 478 717 956 1434 2868 5497 10994 16491 21988 32982 65964 156241 312482 468723 624964 937446 1874892 3593543 7187086 10780629 14374172 21561258 37341599 43122516 74683198 112024797 149366396 224049594 448099188 858856777 1717713554 2576570331 3435427108 5153140662 10306281324