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1084774801 = 11211379337
BaseRepresentation
bin100000010101000…
…0101100110010001
32210121012021021111
41000222011212101
54210200243201
6255350253321
735611301515
oct10052054621
92717167244
101084774801
11507366400
12263357241
1314397c9a6
14a40d8145
1565379b51
hex40a85991

1084774801 has 12 divisors (see below), whose sum is σ = 1202922756. Its totient is φ = 977419520.

The previous prime is 1084774793. The next prime is 1084774813.

1084774801 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 56610576 + 1028164225 = 7524^2 + 32065^2 .

It is not a de Polignac number, because 1084774801 - 23 = 1084774793 is a prime.

It is a super-3 number, since 3×10847748013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1084774861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25996 + ... + 53341.

It is an arithmetic number, because the mean of its divisors is an integer number (100243563).

Almost surely, 21084774801 is an apocalyptic number.

1084774801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1084774801 is a deficient number, since it is larger than the sum of its proper divisors (118147955).

1084774801 is a wasteful number, since it uses less digits than its factorization.

1084774801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79472 (or 79461 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 1084774801 is about 32935.9196167346. The cubic root of 1084774801 is about 1027.4953442720.

The spelling of 1084774801 in words is "one billion, eighty-four million, seven hundred seventy-four thousand, eight hundred one".

Divisors: 1 11 113 121 1243 13673 79337 872707 8965081 9599777 98615891 1084774801