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1131001340 = 22573173953
BaseRepresentation
bin100001101101001…
…1011010111111100
32220211011211011112
41003122123113330
54304014020330
6304121141152
740012232000
oct10332332774
92824154145
101131001340
1153046a057
1227692a7b8
13150416681
14aa2cc700
156945b795
hex4369b5fc

1131001340 has 96 divisors (see below), whose sum is σ = 2788732800. Its totient is φ = 385125888.

The previous prime is 1131001309. The next prime is 1131001349. The reversal of 1131001340 is 431001311.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131001349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186304 + ... + 1187256.

It is an arithmetic number, because the mean of its divisors is an integer number (29049300).

Almost surely, 21131001340 is an apocalyptic number.

1131001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394366400).

1131001340 is an abundant number, since it is smaller than the sum of its proper divisors (1657731460).

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

1131001340 is a wasteful number, since it uses less digits than its factorization.

1131001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1131001340 is about 33630.3633640792. The cubic root of 1131001340 is about 1041.8880090564. Note that the first 3 decimals are identical.

Adding to 1131001340 its reverse (431001311), we get a palindrome (1562002651).

The spelling of 1131001340 in words is "one billion, one hundred thirty-one million, one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 173 196 245 343 346 490 686 692 865 953 980 1211 1372 1715 1730 1906 2422 3430 3460 3812 4765 4844 6055 6671 6860 8477 9530 12110 13342 16954 19060 24220 26684 33355 33908 42385 46697 59339 66710 84770 93394 118678 133420 164869 169540 186788 233485 237356 296695 326879 329738 466970 593390 653758 659476 824345 933940 1154083 1186780 1307516 1634395 1648690 2308166 3268790 3297380 4616332 5770415 6537580 8078581 11540830 16157162 23081660 32314324 40392905 56550067 80785810 113100134 161571620 226200268 282750335 565500670 1131001340