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1131312311 = 1779210663
BaseRepresentation
bin100001101101110…
…0111010010110111
32220211202121201222
41003123213102313
54304103443221
6304131540555
740014665423
oct10333472267
92824677658
101131312311
11530661758
12276a5a75b
131504c508c
14aa36db83
15694bd9ab
hex436e74b7

1131312311 has 12 divisors (see below), whose sum is σ = 1213328592. Its totient is φ = 1051187904.

The previous prime is 1131312263. The next prime is 1131312319. The reversal of 1131312311 is 1132131311.

It is not a de Polignac number, because 1131312311 - 210 = 1131311287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1131312311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131312319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100766 + ... + 111428.

It is an arithmetic number, because the mean of its divisors is an integer number (101110716).

Almost surely, 21131312311 is an apocalyptic number.

1131312311 is a deficient number, since it is larger than the sum of its proper divisors (82016281).

1131312311 is an equidigital number, since it uses as much as digits as its factorization.

1131312311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10838 (or 10759 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 1131312311 is about 33634.9864129599. The cubic root of 1131312311 is about 1041.9834900119.

Adding to 1131312311 its reverse (1132131311), we get a palindrome (2263443622).

The spelling of 1131312311 in words is "one billion, one hundred thirty-one million, three hundred twelve thousand, three hundred eleven".

Divisors: 1 17 79 1343 6241 10663 106097 181271 842377 14320409 66547783 1131312311