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10305195220 = 2253495412729
BaseRepresentation
bin10011001100011110…
…01100110011010100
3222121012001011021001
421212033030303110
5132101112221340
64422324033044
7513241466635
oct114617146324
928535034231
1010305195220
114409017771
121bb7232784
13c82cb6b68
146da8c988c
15404a9629a
hex2663cccd4

10305195220 has 48 divisors (see below), whose sum is σ = 21751002000. Its totient is φ = 4101166080.

The previous prime is 10305195209. The next prime is 10305195221. The reversal of 10305195220 is 2259150301.

10305195220 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 8 ways, for example, as 876396816 + 9428798404 = 29604^2 + 97102^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305195221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3774816 + ... + 3777544.

It is an arithmetic number, because the mean of its divisors is an integer number (453145875).

Almost surely, 210305195220 is an apocalyptic number.

10305195220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10305195220 is an abundant number, since it is smaller than the sum of its proper divisors (11445806780).

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

10305195220 is a wasteful number, since it uses less digits than its factorization.

10305195220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3628 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 10305195220 in words is "ten billion, three hundred five million, one hundred ninety-five thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 349 541 698 1082 1396 1745 2164 2705 2729 3490 5410 5458 6980 10820 10916 13645 27290 54580 188809 377618 755236 944045 952421 1476389 1888090 1904842 2952778 3776180 3809684 4762105 5905556 7381945 9524210 14763890 19048420 29527780 515259761 1030519522 2061039044 2576298805 5152597610 10305195220