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1010032142 = 27312372029
BaseRepresentation
bin111100001100111…
…101111000001110
32121101112221121212
4330030331320032
54032032012032
6244120254422
734013063060
oct7414757016
92541487555
101010032142
11479156109
12242311412
13131340572
14981dd730
155da13bb2
hex3c33de0e

1010032142 has 48 divisors (see below), whose sum is σ = 1838400480. Its totient is φ = 407384640.

The previous prime is 1010032129. The next prime is 1010032147. The reversal of 1010032142 is 2412300101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010032147) 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 23 ways as a sum of consecutive naturals, for example, 496784 + ... + 498812.

It is an arithmetic number, because the mean of its divisors is an integer number (38300010).

Almost surely, 21010032142 is an apocalyptic number.

1010032142 is a deficient number, since it is larger than the sum of its proper divisors (828368338).

1010032142 is a wasteful number, since it uses less digits than its factorization.

1010032142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2137 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010032142 is about 31781.0028476132. The cubic root of 1010032142 is about 1003.3329265925.

Adding to 1010032142 its reverse (2412300101), we get a palindrome (3422332243).

The spelling of 1010032142 in words is "one billion, ten million, thirty-two thousand, one hundred forty-two".

Divisors: 1 2 7 14 31 37 62 74 217 259 434 518 961 1147 1922 2029 2294 4058 6727 8029 13454 14203 16058 28406 35557 62899 71114 75073 125798 150146 248899 440293 497798 525511 880586 1051022 1949869 2327263 3899738 4654526 13649083 16290841 27298166 32581682 72145153 144290306 505016071 1010032142