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10142214003 = 3219290320431
BaseRepresentation
bin10010111001000010…
…11110011101110011
3222011211100212001200
421130201132131303
5131232401322003
64354222502243
7506222253015
oct113441363563
928154325050
1010142214003
114335019549
121b70734983
13c582c147c
146c2dc21b5
153e56006a3
hex25c85e773

10142214003 has 24 divisors (see below), whose sum is σ = 15426977280. Its totient is φ = 6403088880.

The previous prime is 10142213953. The next prime is 10142214013. The reversal of 10142214003 is 30041224101.

10142214003 is a `hidden beast` number, since 101 + 422 + 140 + 0 + 3 = 666.

10142214003 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10142214003 - 220 = 10141165427 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10142214013) 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 23 ways as a sum of consecutive naturals, for example, 486198 + ... + 506628.

It is an arithmetic number, because the mean of its divisors is an integer number (642790720).

Almost surely, 210142214003 is an apocalyptic number.

10142214003 is a deficient number, since it is larger than the sum of its proper divisors (5284763277).

10142214003 is a wasteful number, since it uses less digits than its factorization.

10142214003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23359 (or 23356 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10142214003 its reverse (30041224101), we get a palindrome (40183438104).

The spelling of 10142214003 in words is "ten billion, one hundred forty-two million, two hundred fourteen thousand, three".

Divisors: 1 3 9 19 57 171 2903 8709 20431 26127 55157 61293 165471 183879 388189 496413 1164567 3493701 59311193 177933579 533800737 1126912667 3380738001 10142214003