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1001000001001 = 721121321952579
BaseRepresentation
bin11101001000100000011…
…11111101110111101001
310112200202102002201222011
432210100033331313221
5112400022000013001
62043504131555521
7132214466422600
oct16442017756751
93480672081864
101001000001001
1135658144a500
12142000a5bba1
1373517506300
143663d194a37
151b089447d51
hexe9103fdde9

1001000001001 has 108 divisors (see below), whose sum is σ = 1458908866800. Its totient is φ = 682092290880.

The previous prime is 1001000000993. The next prime is 1001000001007.

1001000001001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1001000001001 - 23 = 1001000000993 is a prime.

1001000001001 is a strobogrammatic number because it is the same when read upside-down.

It is not an unprimeable number, because it can be changed into a prime (1001000001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 19011730 + ... + 19064308.

Almost surely, 21001000001001 is an apocalyptic number.

1001000001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001000001001 is a deficient number, since it is larger than the sum of its proper divisors (457908865799).

1001000001001 is a wasteful number, since it uses less digits than its factorization.

1001000001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52660 (or 52629 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 100100000 and 1001, that added together give a palindrome (100101001).

The spelling of 1001000001001 in words is "one trillion, one billion, one thousand, one".

Divisors: 1 7 11 13 19 49 77 91 121 133 143 169 209 247 539 637 847 931 1001 1183 1463 1573 1729 1859 2299 2717 3211 5929 7007 8281 10241 11011 12103 13013 16093 19019 20449 22477 29887 35321 52579 77077 91091 112651 133133 143143 157339 209209 247247 368053 388531 578369 683527 999001 1002001 1464463 1730729 2576371 2719717 4048583 4784689 6362059 6993007 7518797 8885851 10989011 12987013 19038019 28340081 33492823 44534413 48951049 52631579 62200957 76923077 82706767 90909091 97744361 120879121 142857143 168831169 311740891 368421053 435406699 538461539 578947369 636363637 684210527 846153847 1000000001 1075187971 1181818183 1571428573 1857142859 4052631583 4789473689 5923076929 7000000007 7526315797 8272727281 11000000011 13000000013 20428571449 52684210579 77000000077 91000000091 143000000143 1001000001001