Search a number
-
+
1053113016 = 233263166843
BaseRepresentation
bin111110110001010…
…011101010111000
32201101121200110210
4332301103222320
54124044104031
6252255511120
735045212224
oct7661235270
92641550423
101053113016
114a050043a
122548284a0
1313a2454c7
149dc15784
15626c3746
hex3ec53ab8

1053113016 has 32 divisors (see below), whose sum is σ = 2642808960. Its totient is φ = 349700832.

The previous prime is 1053113011. The next prime is 1053113023. The reversal of 1053113016 is 6103113501.

It is a super-2 number, since 2×10531130162 = 2218094048937232512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053112983 and 1053113001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053113011) 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, 77110 + ... + 89733.

It is an arithmetic number, because the mean of its divisors is an integer number (82587780).

Almost surely, 21053113016 is an apocalyptic number.

It is an amenable number.

1053113016 is an abundant number, since it is smaller than the sum of its proper divisors (1589695944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1053113016 is a wasteful number, since it uses less digits than its factorization.

1053113016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167115 (or 167111 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 1053113016 is about 32451.7028212696. The cubic root of 1053113016 is about 1017.3998286727.

Adding to 1053113016 its reverse (6103113501), we get a palindrome (7156226517).

The spelling of 1053113016 in words is "one billion, fifty-three million, one hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 263 526 789 1052 1578 2104 3156 6312 166843 333686 500529 667372 1001058 1334744 2002116 4004232 43879709 87759418 131639127 175518836 263278254 351037672 526556508 1053113016