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3112777681 = 131012370737
BaseRepresentation
bin1011100110001001…
…0011011111010001
322000221020111020021
42321202103133101
522333332341211
61232513343441
7140065113406
oct27142233721
98027214207
103112777681
111358099a42
1272a567b81
133a7b7ccb0
142175a22ad
1513341e771
hexb98937d1

3112777681 has 8 divisors (see below), whose sum is σ = 3385413864. Its totient is φ = 2844883200.

The previous prime is 3112777667. The next prime is 3112777691. The reversal of 3112777681 is 1867772113.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1260250000 + 1852527681 = 35500^2 + 43041^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3112777681 - 25 = 3112777649 is a prime.

It is a super-2 number, since 2×31127776812 = 19378769782663475522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3112777631) 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 7 ways as a sum of consecutive naturals, for example, 1184056 + ... + 1186681.

It is an arithmetic number, because the mean of its divisors is an integer number (423176733).

Almost surely, 23112777681 is an apocalyptic number.

It is an amenable number.

3112777681 is a deficient number, since it is larger than the sum of its proper divisors (272636183).

3112777681 is a wasteful number, since it uses less digits than its factorization.

3112777681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2370851.

The product of its digits is 98784, while the sum is 43.

The square root of 3112777681 is about 55792.2725921789. The cubic root of 3112777681 is about 1460.1003372901.

The spelling of 3112777681 in words is "three billion, one hundred twelve million, seven hundred seventy-seven thousand, six hundred eighty-one".

Divisors: 1 13 101 1313 2370737 30819581 239444437 3112777681