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1135205149 = 13700112473
BaseRepresentation
bin100001110101001…
…1101101100011101
32221010002101201011
41003222131230131
54311103031044
6304351215221
740063041001
oct10352355435
92833071634
101135205149
11532880481
12278217511
13151258c30
14aaaa4701
15699dc134
hex43a9db1d

1135205149 has 8 divisors (see below), whose sum is σ = 1222801272. Its totient is φ = 1047648000.

The previous prime is 1135205131. The next prime is 1135205167. The reversal of 1135205149 is 9415025311.

It is an interprime number because it is at equal distance from previous prime (1135205131) and next prime (1135205167).

It can be written as a sum of positive squares in 4 ways, for example, as 75377124 + 1059828025 = 8682^2 + 32555^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1135205149 - 27 = 1135205021 is a prime.

It is a super-2 number, since 2×11352051492 = 2577381460632224402, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1135205149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1135205249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84777 + ... + 97249.

It is an arithmetic number, because the mean of its divisors is an integer number (152850159).

Almost surely, 21135205149 is an apocalyptic number.

It is an amenable number.

1135205149 is a deficient number, since it is larger than the sum of its proper divisors (87596123).

1135205149 is a wasteful number, since it uses less digits than its factorization.

1135205149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19487.

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1135205149 is about 33692.8055970410. The cubic root of 1135205149 is about 1043.1772744997.

The spelling of 1135205149 in words is "one billion, one hundred thirty-five million, two hundred five thousand, one hundred forty-nine".

Divisors: 1 13 7001 12473 91013 162149 87323473 1135205149