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10300222120 = 235257505553
BaseRepresentation
bin10011001011111000…
…01110101010101000
3222120211200111110011
421211330032222220
5132043324101440
64422025301304
7513151305046
oct114574165250
928524614404
1010300222120
114406230371
121bb5634834
13c81c653b6
146d9d93396
154044129ea
hex265f0eaa8

10300222120 has 16 divisors (see below), whose sum is σ = 23175499860. Its totient is φ = 4120088832.

The previous prime is 10300222103. The next prime is 10300222133. The reversal of 10300222120 is 2122200301.

10300222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9573056964 + 727165156 = 97842^2 + 26966^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10300222120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 128752737 + ... + 128752816.

Almost surely, 210300222120 is an apocalyptic number.

10300222120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10300222120 is an abundant number, since it is smaller than the sum of its proper divisors (12875277740).

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

10300222120 is a wasteful number, since it uses less digits than its factorization.

10300222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257505564 (or 257505560 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 10300222120 its reverse (2122200301), we get a palindrome (12422422421).

The spelling of 10300222120 in words is "ten billion, three hundred million, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257505553 515011106 1030022212 1287527765 2060044424 2575055530 5150111060 10300222120