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3135110013 = 327223309091
BaseRepresentation
bin1011101011011101…
…1111101101111101
322002111021002102200
42322313133231331
522410042010023
61235032142113
7140455665300
oct27267375575
98074232380
103135110013
111369762612
12735b37939
133ac69bba9
1421a536b37
15135381743
hexbaddfb7d

3135110013 has 36 divisors (see below), whose sum is σ = 5496892128. Its totient is φ = 1713594960.

The previous prime is 3135110003. The next prime is 3135110021. The reversal of 3135110013 is 3100115313.

It is not a de Polignac number, because 3135110013 - 24 = 3135109997 is a prime.

It is a super-2 number, since 2×31351100132 = 19657829587225720338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3135110003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144403 + ... + 164688.

It is an arithmetic number, because the mean of its divisors is an integer number (152691448).

Almost surely, 23135110013 is an apocalyptic number.

It is an amenable number.

3135110013 is a deficient number, since it is larger than the sum of its proper divisors (2361782115).

3135110013 is a wasteful number, since it uses less digits than its factorization.

3135110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309134 (or 309124 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 3135110013 is about 55992.0531236353. The cubic root of 3135110013 is about 1463.5838043050.

Adding to 3135110013 its reverse (3100115313), we get a palindrome (6235225326).

The spelling of 3135110013 in words is "three billion, one hundred thirty-five million, one hundred ten thousand, thirteen".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1449 3381 10143 309091 927273 2163637 2781819 6490911 7109093 15145459 19472733 21327279 45436377 49763651 63981837 136309131 149290953 348345557 447872859 1045036671 3135110013