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113102231100 = 2235211310693121
BaseRepresentation
bin110100101010101101…
…0110001011000111100
3101210221021210122102020
41221111122301120330
53323113132343400
6123543005200140
711112531046665
oct1512532613074
9353837718366
10113102231100
1143a6a296271
1219b05860050
13a886126601
14568d1dc36c
152e1e6322a0
hex1a556b163c

113102231100 has 144 divisors (see below), whose sum is σ = 330553114080. Its totient is φ = 29856153600.

The previous prime is 113102231093. The next prime is 113102231117. The reversal of 113102231100 is 1132201311.

It is a happy number.

It is a super-2 number, since 2×1131022311002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113102231100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36237540 + ... + 36240660.

Almost surely, 2113102231100 is an apocalyptic number.

113102231100 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 113102231100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165276557040).

113102231100 is an abundant number, since it is smaller than the sum of its proper divisors (217450882980).

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

113102231100 is a wasteful number, since it uses less digits than its factorization.

113102231100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113102231100 its reverse (1132201311), we get a palindrome (114234432411).

The spelling of 113102231100 in words is "one hundred thirteen billion, one hundred two million, two hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 113 150 226 300 339 452 565 678 1069 1130 1356 1695 2138 2260 2825 3121 3207 3390 4276 5345 5650 6242 6414 6780 8475 9363 10690 11300 12484 12828 15605 16035 16950 18726 21380 26725 31210 32070 33900 37452 46815 53450 62420 64140 78025 80175 93630 106900 120797 156050 160350 187260 234075 241594 312100 320700 352673 362391 468150 483188 603985 705346 724782 936300 1058019 1207970 1410692 1449564 1763365 1811955 2116038 2415940 3019925 3336349 3526730 3623910 4232076 5290095 6039850 6672698 7053460 7247820 8816825 9059775 10009047 10580190 12079700 13345396 16681745 17633650 18119550 20018094 21160380 26450475 33363490 35267300 36239100 40036188 50045235 52900950 66726980 83408725 100090470 105801900 166817450 200180940 250226175 333634900 377007437 500452350 754014874 1000904700 1131022311 1508029748 1885037185 2262044622 3770074370 4524089244 5655111555 7540148740 9425185925 11310223110 18850371850 22620446220 28275557775 37700743700 56551115550 113102231100