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10034001142 = 2114761257619
BaseRepresentation
bin10010101100001001…
…01011010011110110
3221220021202001220221
421112010223103312
5131022201014032
64335355244554
7503436413434
oct112604532366
927807661827
1010034001142
114289a28630
121b4044975a
13c3ba636a9
146b2893d54
153dad77597
hex25612b4f6

10034001142 has 64 divisors (see below), whose sum is σ = 17137474560. Its totient is φ = 4366540800.

The previous prime is 10034001127. The next prime is 10034001143. The reversal of 10034001142 is 24110043001.

10034001142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10034001143) 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 31 ways as a sum of consecutive naturals, for example, 16209709 + ... + 16210327.

It is an arithmetic number, because the mean of its divisors is an integer number (267773040).

Almost surely, 210034001142 is an apocalyptic number.

10034001142 is a deficient number, since it is larger than the sum of its proper divisors (7103473418).

10034001142 is a wasteful number, since it uses less digits than its factorization.

10034001142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10034001142 its reverse (24110043001), we get a palindrome (34144044143).

The spelling of 10034001142 in words is "ten billion, thirty-four million, one thousand, one hundred forty-two".

Divisors: 1 2 11 22 47 61 94 122 257 514 517 619 671 1034 1238 1342 2827 2867 5654 5734 6809 12079 13618 15677 24158 29093 31354 31537 37759 58186 63074 75518 132869 159083 172447 265738 318166 320023 344894 415349 640046 736819 830698 1473638 1749913 1774673 3499826 3549346 7476901 8105009 9704063 14953802 16210018 19408126 19521403 39042806 82245911 106744693 164491822 213489386 456090961 912181922 5017000571 10034001142