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10042132143 = 323639722751
BaseRepresentation
bin10010101101000111…
…01100011010101111
3221220212001011120010
421112203230122233
5131031241212033
64340245424303
7503565500121
oct112643543257
927825034503
1010042132143
11429358156a
121b4310b093
13c4064c634
146b39ad211
153db931863
hex2568ec6af

10042132143 has 16 divisors (see below), whose sum is σ = 13974460416. Its totient is φ = 6402396000.

The previous prime is 10042132141. The next prime is 10042132147. The reversal of 10042132143 is 34123124001.

10042132143 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 10042132143 - 21 = 10042132141 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042132141) 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, 430018 + ... + 452768.

It is an arithmetic number, because the mean of its divisors is an integer number (873403776).

Almost surely, 210042132143 is an apocalyptic number.

10042132143 is a deficient number, since it is larger than the sum of its proper divisors (3932328273).

10042132143 is a wasteful number, since it uses less digits than its factorization.

10042132143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29174.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10042132143 its reverse (34123124001), we get a palindrome (44165256144).

The spelling of 10042132143 in words is "ten billion, forty-two million, one hundred thirty-two thousand, one hundred forty-three".

Divisors: 1 3 23 69 6397 19191 22751 68253 147131 441393 523273 1569819 145538147 436614441 3347377381 10042132143