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10514264121 = 321168251569
BaseRepresentation
bin10011100101011001…
…01111000000111001
31000010202102221212200
421302230233000321
5133013122422441
64455153100413
7521360525154
oct116254570071
930122387780
1010514264121
114506034289
122055257709
13cb73c7c7a
1471a58cc9b
154180e27b6
hex272b2f039

10514264121 has 6 divisors (see below), whose sum is σ = 15187270410. Its totient is φ = 7009509408.

The previous prime is 10514264083. The next prime is 10514264197. The reversal of 10514264121 is 12146241501.

10514264121 is a `hidden beast` number, since 1 + 0 + 5 + 14 + 2 + 641 + 2 + 1 = 666.

10514264121 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 only one way, i.e., 5653385721 + 4860878400 = 75189^2 + 69720^2 .

It is not a de Polignac number, because 10514264121 - 29 = 10514263609 is a prime.

It is a super-2 number, since 2×105142641212 (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 (10514264021) 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 5 ways as a sum of consecutive naturals, for example, 584125776 + ... + 584125793.

It is an arithmetic number, because the mean of its divisors is an integer number (2531211735).

Almost surely, 210514264121 is an apocalyptic number.

It is an amenable number.

10514264121 is a deficient number, since it is larger than the sum of its proper divisors (4673006289).

10514264121 is a wasteful number, since it uses less digits than its factorization.

10514264121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168251575 (or 1168251572 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10514264121 in words is "ten billion, five hundred fourteen million, two hundred sixty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 1168251569 3504754707 10514264121