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1020332312103 = 313194332022481
BaseRepresentation
bin11101101100100001000…
…10111000011000100111
310121112122201020220020110
432312100202320120213
5113204120032441403
62100422330304103
7133500533360616
oct16662042703047
93545581226213
101020332312103
113637a1a98a15
121458b7288033
13752a8775750
143755491387d
151b81b775103
hexed908b8627

1020332312103 has 32 divisors (see below), whose sum is σ = 1578067912960. Its totient is φ = 581015877120.

The previous prime is 1020332312101. The next prime is 1020332312117. The reversal of 1020332312103 is 3012132330201.

It is not a de Polignac number, because 1020332312103 - 21 = 1020332312101 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020332312103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020332312101) 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 31 ways as a sum of consecutive naturals, for example, 15979378 + ... + 16043103.

It is an arithmetic number, because the mean of its divisors is an integer number (49314622280).

Almost surely, 21020332312103 is an apocalyptic number.

1020332312103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1020332312103 is a deficient number, since it is larger than the sum of its proper divisors (557735600857).

1020332312103 is a wasteful number, since it uses less digits than its factorization.

1020332312103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32022559.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1020332312103 its reverse (3012132330201), we get a palindrome (4032464642304).

The spelling of 1020332312103 in words is "one trillion, twenty billion, three hundred thirty-two million, three hundred twelve thousand, one hundred three".

Divisors: 1 3 13 19 39 43 57 129 247 559 741 817 1677 2451 10621 31863 32022481 96067443 416292253 608427139 1248876759 1376966683 1825281417 4130900049 7909552807 17900566879 23728658421 26162366977 53701700637 78487100931 340110770701 1020332312103