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1003013111104 = 26173115378569
BaseRepresentation
bin11101001100010000011…
…11010111110101000000
310112212221201010022212121
432212020033113311000
5112413132324023404
62044440003534024
7132315412526344
oct16461017276500
93485851108777
101003013111104
11357414830964
1214248308a314
13737785c0a14
14367906a3624
151b156049e54
hexe9883d7d40

1003013111104 has 56 divisors (see below), whose sum is σ = 2003620798440. Its totient is φ = 498168889344.

The previous prime is 1003013111099. The next prime is 1003013111159. The reversal of 1003013111104 is 4011113103001.

It can be written as a sum of positive squares in 4 ways, for example, as 823447353600 + 179565757504 = 907440^2 + 423752^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12726732 + ... + 12805300.

Almost surely, 21003013111104 is an apocalyptic number.

It is an amenable number.

1003013111104 is a deficient number, since it is larger than the sum of its proper divisors (1000607687336).

1003013111104 is a wasteful number, since it uses less digits than its factorization.

1003013111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79907 (or 79897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1003013111104 its reverse (4011113103001), we get a palindrome (5014126214105).

The spelling of 1003013111104 in words is "one trillion, three billion, thirteen million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 173 346 692 1153 1384 2306 2768 4612 5536 9224 11072 18448 36896 73792 78569 157138 199469 314276 398938 628552 797876 1257104 1595752 2514208 3191504 5028416 6383008 12766016 13592437 27184874 54369748 90590057 108739496 181180114 217478992 362360228 434957984 724720456 869915968 1449440912 2898881824 5797763648 15672079861 31344159722 62688319444 125376638888 250753277776 501506555552 1003013111104