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142131006 = 23214895303
BaseRepresentation
bin10000111100010…
…11111100111110
3100220110000002100
420132023330332
5242341143011
622034205530
73344044053
oct1036137476
9326400070
10142131006
1173258146
123b7238a6
13235a52b4
1414c3b02a
15c727d56
hex878bf3e

142131006 has 24 divisors (see below), whose sum is σ = 308215440. Its totient is φ = 47336256.

The previous prime is 142130993. The next prime is 142131047. The reversal of 142131006 is 600131241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 142131006.

It is a congruent number.

It is an unprimeable number.

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, 24151 + ... + 29453.

It is an arithmetic number, because the mean of its divisors is an integer number (12842310).

Almost surely, 2142131006 is an apocalyptic number.

142131006 is an abundant number, since it is smaller than the sum of its proper divisors (166084434).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142131006 is a wasteful number, since it uses less digits than its factorization.

142131006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 142131006 is about 11921.8709102221. The cubic root of 142131006 is about 521.8707347160.

Adding to 142131006 its reverse (600131241), we get a palindrome (742262247).

The spelling of 142131006 in words is "one hundred forty-two million, one hundred thirty-one thousand, six".

Divisors: 1 2 3 6 9 18 1489 2978 4467 5303 8934 10606 13401 15909 26802 31818 47727 95454 7896167 15792334 23688501 47377002 71065503 142131006