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10142005241 = 436113212927
BaseRepresentation
bin10010111001000001…
…01011011111111001
3222011210222020200202
421130200223133321
5131232323131431
64354214211545
7506220423254
oct113440533771
928153866622
1010142005241
114334996715
121b70653bb5
13c5824a444
146c2d6a09b
153e55ad8cb
hex25c82b7f9

10142005241 has 16 divisors (see below), whose sum is σ = 10559586048. Its totient is φ = 9733046400.

The previous prime is 10142005219. The next prime is 10142005283. The reversal of 10142005241 is 14250024101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10142005241 - 26 = 10142005177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142005441) 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 15 ways as a sum of consecutive naturals, for example, 3463520 + ... + 3466446.

It is an arithmetic number, because the mean of its divisors is an integer number (659974128).

Almost surely, 210142005241 is an apocalyptic number.

It is an amenable number.

10142005241 is a deficient number, since it is larger than the sum of its proper divisors (417580807).

10142005241 is a wasteful number, since it uses less digits than its factorization.

10142005241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352.

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 10142005241 its reverse (14250024101), we get a palindrome (24392029342).

The spelling of 10142005241 in words is "ten billion, one hundred forty-two million, five thousand, two hundred forty-one".

Divisors: 1 43 61 1321 2623 2927 56803 80581 125861 178547 3464983 3866567 7677521 166262381 235860587 10142005241