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1001042903913 = 313192486114627
BaseRepresentation
bin11101001000100101100…
…11101000001101101001
310112200212101211102200220
432210102303220031221
5112400113440411123
62043512303320253
7132215530201143
oct16442263501551
93480771742626
101001042903913
113565a3693058
121420132b0089
1373523378250
1436644b61c93
151b08d0bece3
hexe912ce8369

1001042903913 has 48 divisors (see below), whose sum is σ = 1517444824896. Its totient is φ = 583444010880.

The previous prime is 1001042903897. The next prime is 1001042903941. The reversal of 1001042903913 is 3193092401001.

It is a happy number.

It is not a de Polignac number, because 1001042903913 - 24 = 1001042903897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001042903953) 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 47 ways as a sum of consecutive naturals, for example, 68430706 + ... + 68445332.

It is an arithmetic number, because the mean of its divisors is an integer number (31613433852).

Almost surely, 21001042903913 is an apocalyptic number.

1001042903913 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1001042903913 is a deficient number, since it is larger than the sum of its proper divisors (516401920983).

1001042903913 is a wasteful number, since it uses less digits than its factorization.

1001042903913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19542 (or 19523 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 1001042903913 in words is "one trillion, one billion, forty-two million, nine hundred three thousand, nine hundred thirteen".

Divisors: 1 3 13 19 39 57 247 361 741 1083 4693 4861 14079 14583 14627 43881 63193 92359 189579 190151 277077 277913 570453 833739 1200667 1754821 3602001 3612869 5264463 5280347 10838607 15841041 22812673 68438019 68644511 71101847 205933533 213305541 924324011 1350935093 2772972033 4052805279 17562156209 25667766767 52686468627 77003300301 333680967971 1001042903913