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11031020001001 = 7111331355483871
BaseRepresentation
bin1010000010000101110000…
…0001110101011011101001
31110001112222202021000000101
42200201130001311123221
52421213012110013001
635243325225505401
72215651646635120
oct240413401653351
943045882230011
1011031020001001
113573258237880
1212a1a76342261
136202b3c0a030
142a1c93256ab7
15141e1eb15a01
hexa085c0756e9

11031020001001 has 32 divisors (see below), whose sum is σ = 15288650366976. Its totient is φ = 7678451592000.

The previous prime is 11031020000933. The next prime is 11031020001017. The reversal of 11031020001001 is 10010002013011.

It is not a de Polignac number, because 11031020001001 - 27 = 11031020000873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11031020001091) 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, 177710905 + ... + 177772966.

It is an arithmetic number, because the mean of its divisors is an integer number (477770323968).

Almost surely, 211031020001001 is an apocalyptic number.

11031020001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11031020001001 is a deficient number, since it is larger than the sum of its proper divisors (4257630365975).

11031020001001 is a wasteful number, since it uses less digits than its factorization.

11031020001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355483933.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 11031020001001 its reverse (10010002013011), we get a palindrome (21041022014012).

The spelling of 11031020001001 in words is "eleven trillion, thirty-one billion, twenty million, one thousand, one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 1001 2387 2821 4433 31031 355483871 2488387097 3910322581 4621290323 11020000001 27372258067 32349032261 50834193553 77140000007 121220000011 143260000013 355839354871 848540000077 1002820000091 1575860000143 11031020001001