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1311132204 = 2233231074933
BaseRepresentation
bin100111000100110…
…0100101000101100
310101101010102021000
41032021210220230
510141122212304
6334034040300
744330303604
oct11611445054
93341112230
101311132204
11613111038
12307119090
1317b834c95
14c61bbc04
157a18d939
hex4e264a2c

1311132204 has 96 divisors (see below), whose sum is σ = 3580899840. Its totient is φ = 414051264.

The previous prime is 1311132203. The next prime is 1311132211. The reversal of 1311132204 is 4022311131.

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

It is not an unprimeable number, because it can be changed into a prime (1311132203) 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 31 ways as a sum of consecutive naturals, for example, 263322 + ... + 268254.

It is an arithmetic number, because the mean of its divisors is an integer number (37301040).

Almost surely, 21311132204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311132204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790449920).

1311132204 is an abundant number, since it is smaller than the sum of its proper divisors (2269767636).

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

1311132204 is a wasteful number, since it uses less digits than its factorization.

1311132204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5076 (or 5068 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1311132204 is about 36209.5595665012. The cubic root of 1311132204 is about 1094.4993169812.

Adding to 1311132204 its reverse (4022311131), we get a palindrome (5333443335).

The spelling of 1311132204 in words is "one billion, three hundred eleven million, one hundred thirty-two thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 107 108 138 207 214 276 321 414 428 621 642 828 963 1242 1284 1926 2461 2484 2889 3852 4922 4933 5778 7383 9844 9866 11556 14766 14799 19732 22149 29532 29598 44298 44397 59196 66447 88596 88794 113459 132894 133191 177588 226918 265788 266382 340377 453836 527831 532764 680754 1021131 1055662 1361508 1583493 2042262 2111324 3063393 3166986 4084524 4750479 6126786 6333972 9500958 12140113 12253572 14251437 19001916 24280226 28502874 36420339 48560452 57005748 72840678 109261017 145681356 218522034 327783051 437044068 655566102 1311132204