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113121213303320 = 235671631153224591
BaseRepresentation
bin11001101110001000010101…
…101111000100101000011000
3112211112021121212000212022122
4121232020111233010220120
5104311334221101201240
61040331100141040412
732553511056042545
oct3156102557045030
9484467555025278
10113121213303320
1133053489933802
121082b795556108
134b1739148a181
141dd114b373bcc
15d128206c44b5
hex66e215bc4a18

113121213303320 has 128 divisors (see below), whose sum is σ = 260132947338240. Its totient is φ = 44261061672960.

The previous prime is 113121213303317. The next prime is 113121213303337. The reversal of 113121213303320 is 23303312121311.

It is a self number, because there is not a number n which added to its sum of digits gives 113121213303320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503564225 + ... + 503788815.

It is an arithmetic number, because the mean of its divisors is an integer number (2032288651080).

Almost surely, 2113121213303320 is an apocalyptic number.

113121213303320 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 113121213303320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130066473669120).

113121213303320 is an abundant number, since it is smaller than the sum of its proper divisors (147011734034920).

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

113121213303320 is a wasteful number, since it uses less digits than its factorization.

113121213303320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225985 (or 225981 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 113121213303320 its reverse (23303312121311), we get a palindrome (136424525424631).

The spelling of 113121213303320 in words is "one hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 163 268 326 335 536 652 670 815 1153 1304 1340 1630 2306 2680 3260 4612 5765 6520 9224 10921 11530 21842 23060 43684 46120 54605 77251 87368 109210 154502 187939 218420 224591 309004 375878 386255 436840 449182 618008 751756 772510 898364 939695 1122955 1503512 1545020 1796728 1879390 2245910 3090040 3758780 4491820 7517560 8983640 12591913 15047597 25183826 30095194 36608333 50367652 60190388 62959565 73216666 75237985 100735304 120380776 125919130 146433332 150475970 183041665 251838260 258953423 292866664 300951940 366083330 503676520 517906846 601903880 732166660 1035813692 1294767115 1464333320 2071627384 2452758311 2589534230 4905516622 5179068460 9811033244 10358136920 12263791555 17349879341 19622066488 24527583110 34699758682 42209407949 49055166220 69399517364 84418815898 86749396705 98110332440 138799034728 168837631796 173498793410 211047039745 337675263592 346997586820 422094079490 693995173640 844188158980 1688376317960 2828030332583 5656060665166 11312121330332 14140151662915 22624242660664 28280303325830 56560606651660 113121213303320