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65135135 = 5132194057
BaseRepresentation
bin1111100001111…
…0001000011111
311112120012121102
43320132020133
5113133311020
610244023315
71420432232
oct370361037
9145505542
1065135135
1133848a9a
1219991b3b
1310657400
148917419
155ab9475
hex3e1e21f

65135135 has 24 divisors (see below), whose sum is σ = 89113680. Its totient is φ = 45556992.

The previous prime is 65135107. The next prime is 65135141. The reversal of 65135135 is 53153156.

It is not a de Polignac number, because 65135135 - 212 = 65131039 is a prime.

It is a super-2 number, since 2×651351352 = 8485171622936450, which contains 22 as substring.

65135135 is a modest number, since divided by 135135 gives 65 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 65135098 and 65135107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14027 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (3713070).

Almost surely, 265135135 is an apocalyptic number.

65135135 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

65135135 is a deficient number, since it is larger than the sum of its proper divisors (23978545).

65135135 is a wasteful number, since it uses less digits than its factorization.

65135135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4107 (or 4094 counting only the distinct ones).

The product of its digits is 6750, while the sum is 29.

The square root of 65135135 is about 8070.6341138723. The cubic root of 65135135 is about 402.3510192817.

The spelling of 65135135 in words is "sixty-five million, one hundred thirty-five thousand, one hundred thirty-five".

Divisors: 1 5 13 19 65 95 169 247 845 1235 3211 4057 16055 20285 52741 77083 263705 385415 685633 1002079 3428165 5010395 13027027 65135135