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1001131300 = 225213770101
BaseRepresentation
bin111011101011000…
…000110100100100
32120202210201222001
4323223000310210
54022242200200
6243201415044
733544322101
oct7353006444
92522721861
101001131300
11474126844
1223b33a484
1312c5450b0
1496d63aa8
155cd5676a
hex3bac0d24

1001131300 has 36 divisors (see below), whose sum is σ = 2339569876. Its totient is φ = 369648000.

The previous prime is 1001131283. The next prime is 1001131357. The reversal of 1001131300 is 31311001.

It can be written as a sum of positive squares in 6 ways, for example, as 436308544 + 564822756 = 20888^2 + 23766^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383751 + ... + 386350.

Almost surely, 21001131300 is an apocalyptic number.

1001131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001131300 is an abundant number, since it is smaller than the sum of its proper divisors (1338438576).

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

1001131300 is a wasteful number, since it uses less digits than its factorization.

1001131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770128 (or 770121 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1001131300 is about 31640.6589691176. The cubic root of 1001131300 is about 1000.3769578849.

Adding to 1001131300 its reverse (31311001), we get a palindrome (1032442301).

The spelling of 1001131300 in words is "one billion, one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 770101 1540202 3080404 3850505 7701010 10011313 15402020 19252525 20022626 38505050 40045252 50056565 77010100 100113130 200226260 250282825 500565650 1001131300