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3105567361 = 1317371133361
BaseRepresentation
bin1011100100011011…
…0011001010000001
322000102200011112101
42321012303022001
522330011123421
61232055030401
7136646613151
oct27106631201
98012604471
103105567361
1113540147a6
1272806b401
133a6527130
14216646761
15132998191
hexb91b3281

3105567361 has 32 divisors (see below), whose sum is σ = 3670174368. Its totient is φ = 2601123840.

The previous prime is 3105567359. The next prime is 3105567379. The reversal of 3105567361 is 1637655013.

It can be written as a sum of positive squares in 16 ways, for example, as 488631025 + 2616936336 = 22105^2 + 51156^2 .

It is a 3-Lehmer number, since φ(3105567361) divides (3105567361-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 3105567361 - 21 = 3105567359 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R3105567360.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3105567361.

It is not an unprimeable number, because it can be changed into a prime (3105567161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 922321 + ... + 925681.

It is an arithmetic number, because the mean of its divisors is an integer number (114692949).

It is a Poulet number, since it divides 23105567360-1.

Almost surely, 23105567361 is an apocalyptic number.

It is an amenable number.

3105567361 is a deficient number, since it is larger than the sum of its proper divisors (564607007).

3105567361 is a wasteful number, since it uses less digits than its factorization.

3105567361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541.

The product of its (nonzero) digits is 56700, while the sum is 37.

The square root of 3105567361 is about 55727.6175787194. The cubic root of 3105567361 is about 1458.9720920437.

The spelling of 3105567361 in words is "three billion, one hundred five million, five hundred sixty-seven thousand, three hundred sixty-one".

Divisors: 1 13 17 37 113 221 481 629 1469 1921 3361 4181 8177 24973 43693 54353 57137 71077 124357 379793 742781 924001 1616641 2114069 4937309 6456481 14052341 27482897 83934253 182680433 238889797 3105567361