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1131310033 = 71712797433
BaseRepresentation
bin100001101101110…
…0110101111010001
32220211202111121121
41003123212233101
54304103410113
6304131522241
740014655660
oct10333465721
92824674547
101131310033
1153065aa77
12276a59381
131504c4029
14aa36cdd7
15694bce8d
hex436e6bd1

1131310033 has 16 divisors (see below), whose sum is σ = 1370234880. Its totient is φ = 911817216.

The previous prime is 1131310021. The next prime is 1131310057. The reversal of 1131310033 is 3300131311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131310033 is a prime.

It is a super-2 number, since 2×11313100332 = 2559724781532922178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1131309989 and 1131310016.

It is not an unprimeable number, because it can be changed into a prime (1131310013) 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, 148485 + ... + 155917.

It is an arithmetic number, because the mean of its divisors is an integer number (85639680).

Almost surely, 21131310033 is an apocalyptic number.

It is an amenable number.

1131310033 is a deficient number, since it is larger than the sum of its proper divisors (238924847).

1131310033 is a wasteful number, since it uses less digits than its factorization.

1131310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8736.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 1131310033 is about 33634.9525493942. The cubic root of 1131310033 is about 1041.9827906354.

Adding to 1131310033 its reverse (3300131311), we get a palindrome (4431441344).

The spelling of 1131310033 in words is "one billion, one hundred thirty-one million, three hundred ten thousand, thirty-three".

Divisors: 1 7 17 119 1279 7433 8953 21743 52031 126361 152201 884527 9506807 66547649 161615719 1131310033