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131101000 = 2353131101
BaseRepresentation
bin1111101000001…
…11000101001000
3100010200121202121
413310013011020
5232030213000
621001541024
73151224442
oct764070510
9303617677
10131101000
1168004138
1237aa4774
1321212974
14135a9492
15b799b1a
hex7d07148

131101000 has 32 divisors (see below), whose sum is σ = 306778680. Its totient is φ = 52440000.

The previous prime is 131100997. The next prime is 131101021. The reversal of 131101000 is 101131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 34786404 + 96314596 = 5898^2 + 9814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64551 + ... + 66550.

Almost surely, 2131101000 is an apocalyptic number.

131101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131101000 is an abundant number, since it is smaller than the sum of its proper divisors (175677680).

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

131101000 is a wasteful number, since it uses less digits than its factorization.

131101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131122 (or 131108 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 131101000 is about 11449.9344976292. The cubic root of 131101000 is about 508.0057969454.

Adding to 131101000 its reverse (101131), we get a palindrome (131202131).

The spelling of 131101000 in words is "one hundred thirty-one million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131101 262202 524404 655505 1048808 1311010 2622020 3277525 5244040 6555050 13110100 16387625 26220200 32775250 65550500 131101000