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1146135111 = 31123157397
BaseRepresentation
bin100010001010000…
…1010001001000111
32221212122200210120
41010110022021013
54321402310421
6305421353023
740254662532
oct10424121107
92855580716
101146135111
11538a66300
1227ba08773
131535b4b74
14ac30ba19
156a94a8c6
hex4450a247

1146135111 has 12 divisors (see below), whose sum is σ = 1679735736. Its totient is φ = 694627120.

The previous prime is 1146135097. The next prime is 1146135139. The reversal of 1146135111 is 1115316411.

It is not a de Polignac number, because 1146135111 - 25 = 1146135079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146135181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1578336 + ... + 1579061.

It is an arithmetic number, because the mean of its divisors is an integer number (139977978).

Almost surely, 21146135111 is an apocalyptic number.

1146135111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1146135111 is a deficient number, since it is larger than the sum of its proper divisors (533600625).

1146135111 is a wasteful number, since it uses less digits than its factorization.

1146135111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157422 (or 3157411 counting only the distinct ones).

The product of its digits is 360, while the sum is 24.

The square root of 1146135111 is about 33854.6172774114. The cubic root of 1146135111 is about 1046.5145536152.

The spelling of 1146135111 in words is "one billion, one hundred forty-six million, one hundred thirty-five thousand, one hundred eleven".

Divisors: 1 3 11 33 121 363 3157397 9472191 34731367 104194101 382045037 1146135111