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10520205201 = 3211909111689
BaseRepresentation
bin10011100110000110…
…11001011110010001
31000011011121210111200
421303003121132101
5133021133031301
64455524301413
7521462161122
oct116303313621
930134553450
1010520205201
114509421970
122057241869
13cb86c81bc
1471b298049
154188b7c86
hex2730d9791

10520205201 has 24 divisors (see below), whose sum is σ = 16580534880. Its totient is φ = 6374635200.

The previous prime is 10520205187. The next prime is 10520205233. The reversal of 10520205201 is 10250202501.

10520205201 is a `hidden beast` number, since 105 + 20 + 20 + 520 + 1 = 666.

10520205201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10520205201 - 211 = 10520203153 is a prime.

It is a super-2 number, since 2×105202052012 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10520205001) 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 23 ways as a sum of consecutive naturals, for example, 894165 + ... + 905853.

It is an arithmetic number, because the mean of its divisors is an integer number (690855620).

Almost surely, 210520205201 is an apocalyptic number.

10520205201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10520205201 is a deficient number, since it is larger than the sum of its proper divisors (6060329679).

10520205201 is a wasteful number, since it uses less digits than its factorization.

10520205201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20797 (or 20794 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

Adding to 10520205201 its reverse (10250202501), we get a palindrome (20770407702).

The spelling of 10520205201 in words is "ten billion, five hundred twenty million, two hundred five thousand, two hundred one".

Divisors: 1 3 9 11 33 99 9091 11689 27273 35067 81819 100001 105201 128579 300003 385737 900009 1157211 106264699 318794097 956382291 1168911689 3506735067 10520205201