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3145105511 = 191091917951
BaseRepresentation
bin1011101101110110…
…1000000001100111
322010012001220200022
42323131220001213
522420121334021
61240030305355
7140636645552
oct27335500147
98105056608
103145105511
11137436a359
1273935825b
133b178b6a2
1421b9b9699
151361a81ab
hexbb768067

3145105511 has 16 divisors (see below), whose sum is σ = 3358924800. Its totient is φ = 2936412000.

The previous prime is 3145105499. The next prime is 3145105517. The reversal of 3145105511 is 1155015413.

It is a de Polignac number, because none of the positive numbers 2k-3145105511 is a prime.

It is a super-3 number, since 3×31451055113 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145105517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391586 + ... + 399536.

It is an arithmetic number, because the mean of its divisors is an integer number (209932800).

Almost surely, 23145105511 is an apocalyptic number.

3145105511 is a deficient number, since it is larger than the sum of its proper divisors (213819289).

3145105511 is a wasteful number, since it uses less digits than its factorization.

3145105511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8270.

The product of its (nonzero) digits is 1500, while the sum is 26.

The square root of 3145105511 is about 56081.2402769411. The cubic root of 3145105511 is about 1465.1375753262.

The spelling of 3145105511 in words is "three billion, one hundred forty-five million, one hundred five thousand, five hundred eleven".

Divisors: 1 19 109 191 2071 3629 7951 20819 151069 395561 866659 1518641 16466521 28854179 165531869 3145105511