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1131120133 = 111361129671
BaseRepresentation
bin100001101101011…
…1000011000000101
32220211101212010021
41003122320120011
54304031321013
6304123455141
740013235223
oct10332703005
92824355107
101131120133
11530540330
122769874b1
13150458770
14aa31db13
1569481a8d
hex436b8605

1131120133 has 16 divisors (see below), whose sum is σ = 1350663552. Its totient is φ = 933624000.

The previous prime is 1131120127. The next prime is 1131120163. The reversal of 1131120133 is 3310211311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1131120133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131120113) 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 15 ways as a sum of consecutive naturals, for example, 56113 + ... + 73558.

It is an arithmetic number, because the mean of its divisors is an integer number (84416472).

Almost surely, 21131120133 is an apocalyptic number.

1131120133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1131120133 is a deficient number, since it is larger than the sum of its proper divisors (219543419).

1131120133 is a wasteful number, since it uses less digits than its factorization.

1131120133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129756.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 1131120133 is about 33632.1294746556. The cubic root of 1131120133 is about 1041.9244854851.

Adding to 1131120133 its reverse (3310211311), we get a palindrome (4441331444).

The spelling of 1131120133 in words is "one billion, one hundred thirty-one million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 11 13 61 143 671 793 8723 129671 1426381 1685723 7909931 18542953 87009241 102829103 1131120133