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10142412201 = 321567719167
BaseRepresentation
bin10010111001000100…
…01110110110101001
3222011211201220221100
421130202032312221
5131232424142301
64354231032013
7506224036605
oct113442166651
928154656840
1010142412201
114335144449
121b7080b609
13c5836074c
146c3034505
153e563e286
hex25c88eda9

10142412201 has 12 divisors (see below), whose sum is σ = 14659520512. Its totient is φ = 6757283736.

The previous prime is 10142412157. The next prime is 10142412271. The reversal of 10142412201 is 10221424101.

10142412201 is a `hidden beast` number, since 10 + 1 + 42 + 412 + 201 = 666.

10142412201 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 10142412201 - 225 = 10108857769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10142412271) 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 11 ways as a sum of consecutive naturals, for example, 345481 + ... + 373686.

Almost surely, 210142412201 is an apocalyptic number.

It is an amenable number.

10142412201 is a deficient number, since it is larger than the sum of its proper divisors (4517108311).

10142412201 is a wasteful number, since it uses less digits than its factorization.

10142412201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720740 (or 720737 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10142412201 its reverse (10221424101), we get a palindrome (20363836302).

The spelling of 10142412201 in words is "ten billion, one hundred forty-two million, four hundred twelve thousand, two hundred one".

Divisors: 1 3 9 1567 4701 14103 719167 2157501 6472503 1126934689 3380804067 10142412201