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1003111013130 = 235234333357469
BaseRepresentation
bin11101001100011100001…
…00110101101100001010
310112220012112100021012120
432212032010311230022
5112413332404410010
62044453422152110
7132321011633112
oct16461604655412
93486175307176
101003111013130
1135746501a126
121424aba22636
137379297b605
143679d6aa042
151b15e937e70
hexe98e135b0a

1003111013130 has 64 divisors (see below), whose sum is σ = 2517941341440. Its totient is φ = 255275006976.

The previous prime is 1003111013083. The next prime is 1003111013137. The reversal of 1003111013130 is 313101113001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1003111013137) 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, 1379965 + ... + 1977504.

It is an arithmetic number, because the mean of its divisors is an integer number (39342833460).

Almost surely, 21003111013130 is an apocalyptic number.

1003111013130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1003111013130 is an abundant number, since it is smaller than the sum of its proper divisors (1514830328310).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1003111013130 is a wasteful number, since it uses less digits than its factorization.

1003111013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3357935.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1003111013130 its reverse (313101113001), we get a palindrome (1316212126131).

The spelling of 1003111013130 in words is "one trillion, three billion, one hundred eleven million, thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 433 690 866 1299 2165 2598 4330 6495 9959 12990 19918 29877 49795 59754 99590 149385 298770 3357469 6714938 10072407 16787345 20144814 33574690 50362035 77221787 100724070 154443574 231665361 386108935 463330722 772217870 1158326805 1453784077 2316653610 2907568154 4361352231 7268920385 8722704462 14537840770 21806761155 33437033771 43613522310 66874067542 100311101313 167185168855 200622202626 334370337710 501555506565 1003111013130