Search a number
-
+
1130232100 = 225219312619
BaseRepresentation
bin100001101011101…
…1111100100100100
32220202201201222011
41003113133210210
54303314411400
6304052444004
740002546214
oct10327374444
92822651864
101130232100
1152aa94118
12276619604
131502074ba
14aa16c244
15693588ba
hex435df924

1130232100 has 108 divisors (see below), whose sum is σ = 2671964400. Its totient is φ = 413812800.

The previous prime is 1130232083. The next prime is 1130232127. The reversal of 1130232100 is 12320311.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1825591 + ... + 1826209.

Almost surely, 21130232100 is an apocalyptic number.

1130232100 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 1130232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335982200).

1130232100 is an abundant number, since it is smaller than the sum of its proper divisors (1541732300).

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

1130232100 is a wasteful number, since it uses less digits than its factorization.

1130232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1130232100 is about 33618.9247299791. The cubic root of 1130232100 is about 1041.6517453507.

Adding to 1130232100 its reverse (12320311), we get a palindrome (1142552411).

The spelling of 1130232100 in words is "one billion, one hundred thirty million, two hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 31 38 50 62 76 95 100 124 155 190 310 380 475 589 619 620 775 950 961 1178 1238 1550 1900 1922 2356 2476 2945 3095 3100 3844 4805 5890 6190 9610 11761 11780 12380 14725 15475 18259 19189 19220 23522 24025 29450 30950 36518 38378 47044 48050 58805 58900 61900 73036 76756 91295 95945 96100 117610 182590 191890 235220 294025 364591 365180 383780 456475 479725 588050 594859 729182 912950 959450 1176100 1189718 1458364 1822955 1825900 1918900 2379436 2974295 3645910 5948590 7291820 9114775 11302321 11897180 14871475 18229550 22604642 29742950 36459100 45209284 56511605 59485900 113023210 226046420 282558025 565116050 1130232100