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113130030123100 = 225217197887380837
BaseRepresentation
bin11001101110010000100011…
…010000100100100001011100
3112211120010101022102201022101
4121232100203100210201130
5104312010300202414400
61040335115100054444
732554242415551514
oct3156204320444134
9484503338381271
10113130030123100
11330571a378aa21
1210831436234424
134b18167cc1bb3
141dd1746304844
15d12b8976a56a
hex66e42342485c

113130030123100 has 144 divisors (see below), whose sum is σ = 261547558759872. Its totient is φ = 42326052106240.

The previous prime is 113130030123073. The next prime is 113130030123109. The reversal of 113130030123100 is 1321030031311.

It is a super-2 number, since 2×1131300301231002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113130030123109) by changing a digit.

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, 296865882 + ... + 297246718.

It is an arithmetic number, because the mean of its divisors is an integer number (1816302491388).

Almost surely, 2113130030123100 is an apocalyptic number.

113130030123100 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 113130030123100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130773779379936).

113130030123100 is an abundant number, since it is smaller than the sum of its proper divisors (148417528636772).

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

113130030123100 is a wasteful number, since it uses less digits than its factorization.

113130030123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381952 (or 381945 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 113130030123100 its reverse (1321030031311), we get a palindrome (114451060154411).

The spelling of 113130030123100 in words is "one hundred thirteen trillion, one hundred thirty billion, thirty million, one hundred twenty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 197 340 394 425 788 850 887 985 1700 1774 1970 3349 3548 3940 4435 4925 6698 8870 9850 13396 15079 16745 17740 19700 22175 30158 33490 44350 60316 66980 75395 83725 88700 150790 167450 174739 301580 334900 349478 376975 380837 698956 753950 761674 873695 1507900 1523348 1747390 1904185 2970563 3494780 3808370 4368475 5941126 6474229 7616740 8736950 9520925 11882252 12948458 14852815 17473900 19041850 25896916 29705630 32371145 38083700 59411260 64742290 74264075 75024889 129484580 148528150 150049778 161855725 297056300 300099556 323711450 337802419 375124445 647422900 675604838 750248890 1275423113 1351209676 1500497780 1689012095 1875622225 2550846226 3378024190 3751244450 5101692452 5742641123 6377115565 6756048380 7502488900 8445060475 11485282246 12754231130 16890120950 22970564492 25508462260 28713205615 31885577825 33780241900 57426411230 63771155650 66547076543 114852822460 127542311300 133094153086 143566028075 266188306172 287132056150 332735382715 574264112300 665470765430 1131300301231 1330941530860 1663676913575 2262600602462 3327353827150 4525201204924 5656501506155 6654707654300 11313003012310 22626006024620 28282507530775 56565015061550 113130030123100