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3288131561 = 112132090357
BaseRepresentation
bin1100001111111100…
…1110011111101001
322111011012101112102
43003333032133221
523213230202221
61302140023145
7144324441251
oct30377163751
98434171472
103288131561
111438078a00
12779231ab5
134052b81a0
142329aa961
15143a0b30b
hexc3fce7e9

3288131561 has 12 divisors (see below), whose sum is σ = 3892246596. Its totient is φ = 2759269920.

The previous prime is 3288131549. The next prime is 3288131573. The reversal of 3288131561 is 1651318823.

It is an interprime number because it is at equal distance from previous prime (3288131549) and next prime (3288131573).

It can be written as a sum of positive squares in 2 ways, for example, as 357966400 + 2930165161 = 18920^2 + 54131^2 .

It is not a de Polignac number, because 3288131561 - 226 = 3221022697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3288131461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1043606 + ... + 1046751.

It is an arithmetic number, because the mean of its divisors is an integer number (324353883).

Almost surely, 23288131561 is an apocalyptic number.

It is an amenable number.

3288131561 is a deficient number, since it is larger than the sum of its proper divisors (604115035).

3288131561 is a wasteful number, since it uses less digits than its factorization.

3288131561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090392 (or 2090381 counting only the distinct ones).

The product of its digits is 34560, while the sum is 38.

The square root of 3288131561 is about 57342.2319150554. The cubic root of 3288131561 is about 1487.0185808894.

The spelling of 3288131561 in words is "three billion, two hundred eighty-eight million, one hundred thirty-one thousand, five hundred sixty-one".

Divisors: 1 11 13 121 143 1573 2090357 22993927 27174641 252933197 298921051 3288131561