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1020043141 = 13415336109
BaseRepresentation
bin111100110011001…
…001111110000101
32122002101120010121
4330303021332011
54042112340031
6245115021541
734164136465
oct7463117605
92562346117
101020043141
11483873567
1224573a8b1
13133437130
1499687ba5
155e840011
hex3ccc9f85

1020043141 has 16 divisors (see below), whose sum is σ = 1146564720. Its totient is φ = 901255680.

The previous prime is 1020043111. The next prime is 1020043147. The reversal of 1020043141 is 1413400201.

It can be written as a sum of positive squares in 8 ways, for example, as 198916 + 1019844225 = 446^2 + 31935^2 .

It is not a de Polignac number, because 1020043141 - 25 = 1020043109 is a prime.

It is a super-2 number, since 2×10200431412 = 2080976019002291762, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020043147) 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 15 ways as a sum of consecutive naturals, for example, 10195 + ... + 46303.

It is an arithmetic number, because the mean of its divisors is an integer number (71660295).

Almost surely, 21020043141 is an apocalyptic number.

It is an amenable number.

1020043141 is a deficient number, since it is larger than the sum of its proper divisors (126521579).

1020043141 is a wasteful number, since it uses less digits than its factorization.

1020043141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36216.

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

The square root of 1020043141 is about 31938.1142367548. The cubic root of 1020043141 is about 1006.6369010954.

Adding to 1020043141 its reverse (1413400201), we get a palindrome (2433443342).

The spelling of 1020043141 in words is "one billion, twenty million, forty-three thousand, one hundred forty-one".

Divisors: 1 13 41 53 533 689 2173 28249 36109 469417 1480469 1913777 19246097 24879101 78464857 1020043141