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1085414013 = 3413400173
BaseRepresentation
bin100000010110010…
…0001101001111101
32210122101202010000
41000230201221331
54210331222023
6255412104513
735616603225
oct10054415175
92718352100
101085414013
11507762682
12263605139
13143b44918
14a4223085
1565454243
hex40b21a7d

1085414013 has 10 divisors (see below), whose sum is σ = 1621421054. Its totient is φ = 723609288.

The previous prime is 1085413949. The next prime is 1085414017. The reversal of 1085414013 is 3104145801.

It is a happy number.

1085414013 is a `hidden beast` number, since 108 + 541 + 4 + 0 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1060283844 + 25130169 = 32562^2 + 5013^2 .

It is not a de Polignac number, because 1085414013 - 26 = 1085413949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085414017) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6700006 + ... + 6700167.

Almost surely, 21085414013 is an apocalyptic number.

It is an amenable number.

1085414013 is a deficient number, since it is larger than the sum of its proper divisors (536007041).

1085414013 is an equidigital number, since it uses as much as digits as its factorization.

1085414013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13400185 (or 13400176 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1085414013 is about 32945.6220612087. The cubic root of 1085414013 is about 1027.6971245217.

Adding to 1085414013 its reverse (3104145801), we get a palindrome (4189559814).

The spelling of 1085414013 in words is "one billion, eighty-five million, four hundred fourteen thousand, thirteen".

Divisors: 1 3 9 27 81 13400173 40200519 120601557 361804671 1085414013