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3142105335 = 325194778191
BaseRepresentation
bin1011101101001000…
…1011100011110111
322002222102111012200
42323102023203313
522413334332320
61235442115543
7140602311645
oct27322134367
98088374180
103142105335
111372700276
1273834bbb3
133b0c7ac35
1421b438195
15135cb4290
hexbb48b8f7

3142105335 has 48 divisors (see below), whose sum is σ = 5855016960. Its totient is φ = 1553791680.

The previous prime is 3142105321. The next prime is 3142105339. The reversal of 3142105335 is 5335012413.

3142105335 is a `hidden beast` number, since 314 + 2 + 10 + 5 + 335 = 666.

It is not a de Polignac number, because 3142105335 - 26 = 3142105271 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3142105299 and 3142105308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142105339) 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 47 ways as a sum of consecutive naturals, for example, 1090 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (121979520).

Almost surely, 23142105335 is an apocalyptic number.

3142105335 is a deficient number, since it is larger than the sum of its proper divisors (2712911625).

3142105335 is a wasteful number, since it uses less digits than its factorization.

3142105335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78268 (or 78265 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3142105335 is about 56054.4854137472. The cubic root of 3142105335 is about 1464.6715529071.

Adding to 3142105335 its reverse (5335012413), we get a palindrome (8477117748).

The spelling of 3142105335 in words is "three billion, one hundred forty-two million, one hundred five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 19 45 47 57 95 141 171 235 285 423 705 855 893 2115 2679 4465 8037 13395 40185 78191 234573 390955 703719 1172865 1485629 3518595 3674977 4456887 7428145 11024931 13370661 18374885 22284435 33074793 55124655 66853305 69824563 165373965 209473689 349122815 628421067 1047368445 3142105335