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1131041000 = 23538313627
BaseRepresentation
bin100001101101010…
…0101000011101000
32220211020211120102
41003122211003220
54304021303000
6304122044532
740012455425
oct10332450350
92824224512
101131041000
11530496931
12276949748
1315042b73b
14aa2dcd4c
15694683d5
hex436a50e8

1131041000 has 64 divisors (see below), whose sum is σ = 2678719680. Its totient is φ = 446932800.

The previous prime is 1131040979. The next prime is 1131041027. The reversal of 1131041000 is 1401311.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 76187 + ... + 89813.

It is an arithmetic number, because the mean of its divisors is an integer number (41854995).

Almost surely, 21131041000 is an apocalyptic number.

1131041000 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 1131041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339359840).

1131041000 is an abundant number, since it is smaller than the sum of its proper divisors (1547678680).

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

1131041000 is a wasteful number, since it uses less digits than its factorization.

1131041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13731 (or 13717 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 1131041000 is about 33630.9530046355. The cubic root of 1131041000 is about 1041.9001872899.

Adding to 1131041000 its reverse (1401311), we get a palindrome (1132442311).

The spelling of 1131041000 in words is "one billion, one hundred thirty-one million, forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 166 200 250 332 415 500 664 830 1000 1660 2075 3320 4150 8300 10375 13627 16600 20750 27254 41500 54508 68135 83000 109016 136270 272540 340675 545080 681350 1131041 1362700 1703375 2262082 2725400 3406750 4524164 5655205 6813500 9048328 11310410 13627000 22620820 28276025 45241640 56552050 113104100 141380125 226208200 282760250 565520500 1131041000