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1133087681 = 112291372357
BaseRepresentation
bin100001110001001…
…1000101111000001
32220222002211002102
41003202120233001
54310032301211
6304234000145
740036041425
oct10342305701
92828084072
101133087681
11531664600
12277576055
131509971ab
14aa6b2b85
156971ea3b
hex43898bc1

1133087681 has 24 divisors (see below), whose sum is σ = 1298361960. Its totient is φ = 986881280.

The previous prime is 1133087671. The next prime is 1133087699. The reversal of 1133087681 is 1867803311.

It can be written as a sum of positive squares in 4 ways, for example, as 84364225 + 1048723456 = 9185^2 + 32384^2 .

It is not a de Polignac number, because 1133087681 - 226 = 1065978817 is a prime.

It is a super-2 number, since 2×11330876812 = 2567775385667915522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133087671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479555 + ... + 481911.

It is an arithmetic number, because the mean of its divisors is an integer number (54098415).

Almost surely, 21133087681 is an apocalyptic number.

1133087681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1133087681 is a deficient number, since it is larger than the sum of its proper divisors (165274279).

1133087681 is a wasteful number, since it uses less digits than its factorization.

1133087681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2545 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 1133087681 is about 33661.3677826674. The cubic root of 1133087681 is about 1042.5282671899.

The spelling of 1133087681 in words is "one billion, one hundred thirty-three million, eighty-seven thousand, six hundred eighty-one".

Divisors: 1 11 29 121 137 319 1507 2357 3509 3973 16577 25927 43703 68353 285197 322909 480733 751883 3551999 8270713 9364361 39071989 103007971 1133087681