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1141131000 = 23353380377
BaseRepresentation
bin100010000000100…
…0100011011111000
32221112020110110010
41010001010123320
54314112143000
6305122221520
740164311352
oct10401043370
92845213403
101141131000
11536158679
1227a1b48a0
13152552259
14ab7a80d2
156a2acd50
hex440446f8

1141131000 has 64 divisors (see below), whose sum is σ = 3560338080. Its totient is φ = 304300800.

The previous prime is 1141130981. The next prime is 1141131007. The reversal of 1141131000 is 1311411.

It is a super-2 number, since 2×11411310002 = 2604359918322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141131007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187189 + ... + 193188.

Almost surely, 21141131000 is an apocalyptic number.

1141131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141131000 is an abundant number, since it is smaller than the sum of its proper divisors (2419207080).

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

1141131000 is a wasteful number, since it uses less digits than its factorization.

1141131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380401 (or 380387 counting only the distinct ones).

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

The square root of 1141131000 is about 33780.6305447367. The cubic root of 1141131000 is about 1044.9892782185.

Adding to 1141131000 its reverse (1311411), we get a palindrome (1142442411).

The spelling of 1141131000 in words is "one billion, one hundred forty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 380377 760754 1141131 1521508 1901885 2282262 3043016 3803770 4564524 5705655 7607540 9129048 9509425 11411310 15215080 19018850 22822620 28528275 38037700 45645240 47547125 57056550 76075400 95094250 114113100 142641375 190188500 228226200 285282750 380377000 570565500 1141131000