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201031232301300 = 223527692063422393
BaseRepresentation
bin101101101101011000111011…
…001100001010100011110100
3222100210101202020010210000110
4231231120323030022203310
5202322143430432120200
61551320250112343020
760226012225252542
oct5555307314124364
9870711666123013
10201031232301300
11590669598404a5
121a669248b44a70
13882321901357b
14378dd6c012d92
15183943c6eab50
hexb6d63b30a8f4

201031232301300 has 144 divisors (see below), whose sum is σ = 582690427925760. Its totient is φ = 53512538357760.

The previous prime is 201031232301287. The next prime is 201031232301313. The reversal of 201031232301300 is 3103232130102.

It is an interprime number because it is at equal distance from previous prime (201031232301287) and next prime (201031232301313).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 475722904 + ... + 476145296.

It is an arithmetic number, because the mean of its divisors is an integer number (4046461305040).

Almost surely, 2201031232301300 is an apocalyptic number.

201031232301300 is a gapful number since it is divisible by the number (20) 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 201031232301300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291345213962880).

201031232301300 is an abundant number, since it is smaller than the sum of its proper divisors (381659195624460).

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

201031232301300 is a wasteful number, since it uses less digits than its factorization.

201031232301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425242 (or 425235 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 201031232301300 its reverse (3103232130102), we get a palindrome (204134464431402).

The spelling of 201031232301300 in words is "two hundred one trillion, thirty-one billion, two hundred thirty-two million, three hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 769 1538 2063 2307 3076 3845 4126 4614 6189 7690 8252 9228 10315 11535 12378 15380 19225 20630 23070 24756 30945 38450 41260 46140 51575 57675 61890 76900 103150 115350 123780 154725 206300 230700 309450 422393 618900 844786 1267179 1586447 1689572 2111965 2534358 3172894 4223930 4759341 5068716 6335895 6345788 7932235 8447860 9518682 10559825 12671790 15864470 19037364 21119650 23796705 25343580 31679475 31728940 39661175 42239300 47593410 63358950 79322350 95186820 118983525 126717900 158644700 237967050 324820217 475934100 649640434 871396759 974460651 1299280868 1624101085 1742793518 1948921302 2614190277 3248202170 3485587036 3897842604 4356983795 4872303255 5228380554 6496404340 8120505425 8713967590 9744606510 10456761108 13070951385 16241010850 17427935180 19489213020 21784918975 24361516275 26141902770 32482021700 43569837950 48723032550 52283805540 65354756925 87139675900 97446065100 130709513850 261419027700 670104107671 1340208215342 2010312323013 2680416430684 3350520538355 4020624646026 6701041076710 8041249292052 10051561615065 13402082153420 16752602691775 20103123230130 33505205383550 40206246460260 50257808075325 67010410767100 100515616150650 201031232301300