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10314122020 = 225172910110357
BaseRepresentation
bin10011001101100010…
…10000001100100100
3222121210211200112021
421212301100030210
5132110403401040
64423243232524
7513410406406
oct114661201444
928553750467
1010314122020
114413064594
121bba218744
13c84ac10a7
146dbb70b76
1540575b24a
hex266c50324

10314122020 has 96 divisors (see below), whose sum is σ = 23961782880. Its totient is φ = 3711590400.

The previous prime is 10314121999. The next prime is 10314122023. The reversal of 10314122020 is 2022141301.

It can be written as a sum of positive squares in 16 ways, for example, as 1313316 + 10312808704 = 1146^2 + 101552^2 .

It is a super-2 number, since 2×103141220202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10314121985 and 10314122003.

It is not an unprimeable number, because it can be changed into a prime (10314122023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 990682 + ... + 1001038.

It is an arithmetic number, because the mean of its divisors is an integer number (249601905).

Almost surely, 210314122020 is an apocalyptic number.

10314122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980891440).

10314122020 is an abundant number, since it is smaller than the sum of its proper divisors (13647660860).

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

10314122020 is a wasteful number, since it uses less digits than its factorization.

10314122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10513 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10314122020 its reverse (2022141301), we get a palindrome (12336263321).

The spelling of 10314122020 in words is "ten billion, three hundred fourteen million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 101 116 145 170 202 290 340 404 493 505 580 986 1010 1717 1972 2020 2465 2929 3434 4930 5858 6868 8585 9860 10357 11716 14645 17170 20714 29290 34340 41428 49793 51785 58580 99586 103570 176069 199172 207140 248965 300353 352138 497930 600706 704276 880345 995860 1046057 1201412 1501765 1760690 2092114 3003530 3521380 4184228 5106001 5230285 6007060 10212002 10460570 17782969 20424004 20921140 25530005 30335653 35565938 51060010 60671306 71131876 88914845 102120020 121342612 151678265 177829690 303356530 355659380 515706101 606713060 1031412202 2062824404 2578530505 5157061010 10314122020