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1001130200 = 235272331091
BaseRepresentation
bin111011101011000…
…000100011011000
32120202210200110022
4323223000203120
54022242131300
6243201410012
733544315640
oct7353004330
92522720408
101001130200
11474125a34
1223b339908
1312c544745
1496d63520
155cd56285
hex3bac08d8

1001130200 has 96 divisors (see below), whose sum is σ = 2775893760. Its totient is φ = 328310400.

The previous prime is 1001130191. The next prime is 1001130209. The reversal of 1001130200 is 20311001.

It is an interprime number because it is at equal distance from previous prime (1001130191) and next prime (1001130209).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001130209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16655 + ... + 47745.

It is an arithmetic number, because the mean of its divisors is an integer number (28915560).

Almost surely, 21001130200 is an apocalyptic number.

1001130200 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 1001130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387946880).

1001130200 is an abundant number, since it is smaller than the sum of its proper divisors (1774763560).

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

1001130200 is a wasteful number, since it uses less digits than its factorization.

1001130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31137 (or 31128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1001130200 is about 31640.6415864154. The cubic root of 1001130200 is about 1000.3765914944.

Adding to 1001130200 its reverse (20311001), we get a palindrome (1021441201).

The spelling of 1001130200 in words is "one billion, one million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 50 56 70 92 100 115 140 161 175 184 200 230 280 322 350 460 575 644 700 805 920 1150 1288 1400 1610 2300 3220 4025 4600 6440 8050 16100 31091 32200 62182 124364 155455 217637 248728 310910 435274 621820 715093 777275 870548 1088185 1243640 1430186 1554550 1741096 2176370 2860372 3109100 3575465 4352740 5005651 5440925 5720744 6218200 7150930 8705480 10011302 10881850 14301860 17877325 20022604 21763700 25028255 28603720 35754650 40045208 43527400 50056510 71509300 100113020 125141275 143018600 200226040 250282550 500565100 1001130200