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113031132300 = 2232521021123007
BaseRepresentation
bin110100101000100101…
…1100011010010001100
3101210202100000110012100
41221101023203102030
53322441432213200
6123531545235100
711111005525602
oct1512113432214
9353670013170
10113031132300
1143a33144729
1219aa5a92a90
13a874491908
1456839b1872
152e1828ad00
hex1a512e348c

113031132300 has 108 divisors (see below), whose sum is σ = 354639690496. Its totient is φ = 30111868800.

The previous prime is 113031132299. The next prime is 113031132317. The reversal of 113031132300 is 3231130311.

It is a happy number.

113031132300 is a `hidden beast` number, since 1 + 1 + 30 + 311 + 323 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 857397 + ... + 980403.

Almost surely, 2113031132300 is an apocalyptic number.

113031132300 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 113031132300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177319845248).

113031132300 is an abundant number, since it is smaller than the sum of its proper divisors (241608558196).

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

113031132300 is a wasteful number, since it uses less digits than its factorization.

113031132300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124048 (or 124038 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113031132300 its reverse (3231130311), we get a palindrome (116262262611).

It can be divided in two parts, 1130311 and 32300, that added together give a palindrome (1162611).

The spelling of 113031132300 in words is "one hundred thirteen billion, thirty-one million, one hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1021 2042 3063 4084 5105 6126 9189 10210 12252 15315 18378 20420 25525 30630 36756 45945 51050 61260 76575 91890 102100 123007 153150 183780 229725 246014 306300 369021 459450 492028 615035 738042 918900 1107063 1230070 1476084 1845105 2214126 2460140 3075175 3690210 4428252 5535315 6150350 7380420 9225525 11070630 12300700 18451050 22141260 27676575 36902100 55353150 110706300 125590147 251180294 376770441 502360588 627950735 753540882 1130311323 1255901470 1507081764 1883852205 2260622646 2511802940 3139753675 3767704410 4521245292 5651556615 6279507350 7535408820 9419261025 11303113230 12559014700 18838522050 22606226460 28257783075 37677044100 56515566150 113031132300