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1311133122 = 233131867711
BaseRepresentation
bin100111000100110…
…0100110111000010
310101101010110112000
41032021210313002
510141122224442
6334034044430
744330306355
oct11611446702
93341113460
101311133122
116131117a2
12307119716
1317b835520
14c61bc29c
157a18dd4c
hex4e264dc2

1311133122 has 32 divisors (see below), whose sum is σ = 3137756160. Its totient is φ = 403425360.

The previous prime is 1311133121. The next prime is 1311133163. The reversal of 1311133122 is 2213311131.

1311133122 is a `hidden beast` number, since 1 + 311 + 1 + 331 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1311133095 and 1311133104.

It is not an unprimeable number, because it can be changed into a prime (1311133121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 933154 + ... + 934557.

It is an arithmetic number, because the mean of its divisors is an integer number (98054880).

Almost surely, 21311133122 is an apocalyptic number.

1311133122 is an abundant number, since it is smaller than the sum of its proper divisors (1826623038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311133122 is a wasteful number, since it uses less digits than its factorization.

1311133122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867735 (or 1867729 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 1311133122 is about 36209.5722427095. The cubic root of 1311133122 is about 1094.4995724221.

Adding to 1311133122 its reverse (2213311131), we get a palindrome (3524444253).

The spelling of 1311133122 in words is "one billion, three hundred eleven million, one hundred thirty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 1867711 3735422 5603133 11206266 16809399 24280243 33618798 48560486 50428197 72840729 100856394 145681458 218522187 437044374 655566561 1311133122