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21165204330 = 2325235168937
BaseRepresentation
bin10011101101100010…
…110110001101101010
32000122001001210002200
4103231202312031222
5321321243014310
613420111441030
71346331161034
oct235542661552
960561053080
1021165204330
118a8122a306
124128226176
131cc3c0835a
14104ad58c54
1583d1d19c0
hex4ed8b636a

21165204330 has 24 divisors (see below), whose sum is σ = 55029531492. Its totient is φ = 5644054464.

The previous prime is 21165204329. The next prime is 21165204331. The reversal of 21165204330 is 3340256112.

21165204330 is a `hidden beast` number, since 2 + 1 + 1 + 652 + 0 + 4 + 3 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21165204329) and next prime (21165204331).

It can be written as a sum of positive squares in 2 ways, for example, as 20373851169 + 791353161 = 142737^2 + 28131^2 .

It is a junction number, because it is equal to n+sod(n) for n = 21165204294 and 21165204303.

It is not an unprimeable number, because it can be changed into a prime (21165204331) 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 11 ways as a sum of consecutive naturals, for example, 117584379 + ... + 117584558.

Almost surely, 221165204330 is an apocalyptic number.

21165204330 is an abundant number, since it is smaller than the sum of its proper divisors (33864327162).

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

21165204330 is a wasteful number, since it uses less digits than its factorization.

21165204330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235168950 (or 235168947 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21165204330 in words is "twenty-one billion, one hundred sixty-five million, two hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 235168937 470337874 705506811 1175844685 1411013622 2116520433 2351689370 3527534055 4233040866 7055068110 10582602165 21165204330