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3135342077 = 7331294869
BaseRepresentation
bin1011101011100001…
…1000010111111101
322002111200212202122
42322320120113331
522410121421302
61235041132325
7140460653000
oct27270302775
98074625678
103135342077
1113699009aa
1273602a0a5
133ac7506ca
1421a597537
151353ca3a2
hexbae185fd

3135342077 has 16 divisors (see below), whose sum is σ = 3774336000. Its totient is φ = 2600735760.

The previous prime is 3135342061. The next prime is 3135342097. The reversal of 3135342077 is 7702435313.

It is not a de Polignac number, because 3135342077 - 24 = 3135342061 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135342017) 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 15 ways as a sum of consecutive naturals, for example, 136802 + ... + 158067.

It is an arithmetic number, because the mean of its divisors is an integer number (235896000).

Almost surely, 23135342077 is an apocalyptic number.

It is an amenable number.

3135342077 is a deficient number, since it is larger than the sum of its proper divisors (638993923).

3135342077 is an equidigital number, since it uses as much as digits as its factorization.

3135342077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294921 (or 294907 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 3135342077 is about 55994.1253793646. The cubic root of 3135342077 is about 1463.6199153963.

The spelling of 3135342077 in words is "three billion, one hundred thirty-five million, three hundred forty-two thousand, seventy-seven".

Divisors: 1 7 31 49 217 343 1519 10633 294869 2064083 9140939 14448581 63986573 101140067 447906011 3135342077