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10300335021 = 323740177137
BaseRepresentation
bin10011001011111001…
…01010001110101101
3222120211220020022200
421211330222032231
5132043341210041
64422031532113
7513152255154
oct114574521655
928524806280
1010300335021
1144062a8179
121bb568a039
13c81ca48c2
146d9dc259b
154044361b6
hex265f2a3ad

10300335021 has 24 divisors (see below), whose sum is σ = 15318681144. Its totient is φ = 6664550400.

The previous prime is 10300335007. The next prime is 10300335053. The reversal of 10300335021 is 12053300301.

10300335021 is a `hidden beast` number, since 10 + 300 + 3 + 350 + 2 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9237900996 + 1062434025 = 96114^2 + 32595^2 .

It is not a de Polignac number, because 10300335021 - 27 = 10300334893 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10300334985 and 10300335003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10300331021) 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 23 ways as a sum of consecutive naturals, for example, 94965 + ... + 172101.

It is an arithmetic number, because the mean of its divisors is an integer number (638278381).

Almost surely, 210300335021 is an apocalyptic number.

It is an amenable number.

10300335021 is a deficient number, since it is larger than the sum of its proper divisors (5018346123).

10300335021 is a wasteful number, since it uses less digits than its factorization.

10300335021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77581 (or 77578 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 10300335021 its reverse (12053300301), we get a palindrome (22353635322).

The spelling of 10300335021 in words is "ten billion, three hundred million, three hundred thirty-five thousand, twenty-one".

Divisors: 1 3 9 37 111 333 401 1203 3609 14837 44511 77137 133533 231411 694233 2854069 8562207 25686621 30931937 92795811 278387433 1144481669 3433445007 10300335021