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1047053137 = 13174737797
BaseRepresentation
bin111110011010001…
…100001101010001
32200222012210212211
4332122030031101
54121021200022
6251521552121
734642543024
oct7632141521
92628183784
101047053137
11498041579
122527a5641
13138c03190
149d0b91bb
1561dc7e77
hex3e68c351

1047053137 has 8 divisors (see below), whose sum is σ = 1193925096. Its totient is φ = 909656832.

The previous prime is 1047053129. The next prime is 1047053143. The reversal of 1047053137 is 7313507401.

1047053137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80838081 + 966215056 = 8991^2 + 31084^2 .

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 1047053137 - 23 = 1047053129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1047053099 and 1047053108.

It is not an unprimeable number, because it can be changed into a prime (1047053167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2368678 + ... + 2369119.

It is an arithmetic number, because the mean of its divisors is an integer number (149240637).

Almost surely, 21047053137 is an apocalyptic number.

1047053137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1047053137 is a deficient number, since it is larger than the sum of its proper divisors (146871959).

1047053137 is a wasteful number, since it uses less digits than its factorization.

1047053137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4737827.

The product of its (nonzero) digits is 8820, while the sum is 31.

The square root of 1047053137 is about 32358.2004598525. The cubic root of 1047053137 is about 1015.4446148396. Note that the first 3 decimals are identical.

The spelling of 1047053137 in words is "one billion, forty-seven million, fifty-three thousand, one hundred thirty-seven".

Divisors: 1 13 17 221 4737797 61591361 80542549 1047053137