Search a number
-
+
1131200200 = 235213538209
BaseRepresentation
bin100001101101100…
…1011111011001000
32220211112220221201
41003123023323020
54304041401300
6304125313544
740014020524
oct10333137310
92824486851
101131200200
115305954a9
12276a058b4
13150486040
14aa340d84
156949a66a
hex436cbec8

1131200200 has 96 divisors (see below), whose sum is σ = 2886143400. Its totient is φ = 409743360.

The previous prime is 1131200197. The next prime is 1131200219. The reversal of 1131200200 is 20021311.

It can be written as a sum of positive squares in 12 ways, for example, as 9084196 + 1122116004 = 3014^2 + 33498^2 .

It is a super-2 number, since 2×11312002002 = 2559227784960080000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 133696 + ... + 141904.

Almost surely, 21131200200 is an apocalyptic number.

1131200200 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 1131200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443071700).

1131200200 is an abundant number, since it is smaller than the sum of its proper divisors (1754943200).

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

1131200200 is a wasteful number, since it uses less digits than its factorization.

1131200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8282 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1131200200 is about 33633.3197885668. The cubic root of 1131200200 is about 1041.9490693163.

Adding to 1131200200 its reverse (20021311), we get a palindrome (1151221511).

The spelling of 1131200200 in words is "one billion, one hundred thirty-one million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 53 65 100 104 106 130 200 212 260 265 325 424 520 530 650 689 1060 1300 1325 1378 2120 2600 2650 2756 3445 5300 5512 6890 8209 10600 13780 16418 17225 27560 32836 34450 41045 65672 68900 82090 106717 137800 164180 205225 213434 328360 410450 426868 435077 533585 820900 853736 870154 1067170 1641800 1740308 2134340 2175385 2667925 3480616 4268680 4350770 5335850 5656001 8701540 10671700 10876925 11312002 17403080 21343400 21753850 22624004 28280005 43507700 45248008 56560010 87015400 113120020 141400025 226240040 282800050 565600100 1131200200