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113120120203230 = 23574116138145211
BaseRepresentation
bin11001101110000111010100…
…100101001110011111011110
3112211112011210200011121220010
4121232013110211032133132
5104311330001233000410
61040330355452104050
732553442013615040
oct3156072445163736
9484464720147803
10113120120203230
1133052a789014a8
121082b52b465026
134b17248b83c9a
141dd108610da90
15d127a9752c20
hex66e1d494e7de

113120120203230 has 128 divisors (see below), whose sum is σ = 318037035488256. Its totient is φ = 25209750758400.

The previous prime is 113120120203183. The next prime is 113120120203253. The reversal of 113120120203230 is 32302021021311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 113120120203197 and 113120120203206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9815325 + ... + 17960535.

It is an arithmetic number, because the mean of its divisors is an integer number (2484664339752).

Almost surely, 2113120120203230 is an apocalyptic number.

113120120203230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 113120120203230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159018517744128).

113120120203230 is an abundant number, since it is smaller than the sum of its proper divisors (204916915285026).

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

113120120203230 is a wasteful number, since it uses less digits than its factorization.

113120120203230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146882.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 113120120203230 its reverse (32302021021311), we get a palindrome (145422141224541).

The spelling of 113120120203230 in words is "one hundred thirteen trillion, one hundred twenty billion, one hundred twenty million, two hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 861 1230 1435 1613 1722 2870 3226 4305 4839 8065 8610 9678 11291 16130 22582 24195 33873 48390 56455 66133 67746 112910 132266 169365 198399 330665 338730 396798 462931 661330 925862 991995 1388793 1983990 2314655 2777586 4629310 6943965 8145211 13887930 16290422 24435633 40726055 48871266 57016477 81452110 114032954 122178165 171049431 244356330 285082385 333953651 342098862 570164770 667907302 855247155 1001860953 1669768255 1710494310 2003721906 2337675557 3339536510 4675351114 5009304765 7013026671 10018609530 11688377785 13138225343 14026053342 23376755570 26276450686 35065133355 39414676029 65691126715 70130266710 78829352058 91967577401 131382253430 183935154802 197073380145 275902732203 394146760290 459837887005 538667239063 551805464406 919675774010 1077334478126 1379513661015 1616001717189 2693336195315 2759027322030 3232003434378 3770670673441 5386672390630 7541341346882 8080008585945 11312012020323 16160017171890 18853353367205 22624024040646 37706706734410 56560060101615 113120120203230