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201201012222100 = 2252115692663120713
BaseRepresentation
bin101101101111110111000010…
…110111001010100010010100
3222101101121222111000101020021
4231233313002313022202110
5202332434133112101400
61551530245145314524
760244202434624432
oct5557670267124224
9871347874011207
10201201012222100
1159121963110930
121a69612ba95a44
1388362354a2b77
14379827675bd52
15183da77a7271a
hexb6fdc2dca894

201201012222100 has 144 divisors (see below), whose sum is σ = 477317873450880. Its totient is φ = 73007390156800.

The previous prime is 201201012222017. The next prime is 201201012222107. The reversal of 201201012222100 is 1222210102102.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201012222107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1666711344 + ... + 1666832056.

It is an arithmetic number, because the mean of its divisors is an integer number (3314707454520).

Almost surely, 2201201012222100 is an apocalyptic number.

201201012222100 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 201201012222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238658936725440).

201201012222100 is an abundant number, since it is smaller than the sum of its proper divisors (276116861228780).

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

201201012222100 is a wasteful number, since it uses less digits than its factorization.

201201012222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123970 (or 123963 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201201012222100 its reverse (1222210102102), we get a palindrome (202423222324202).

The spelling of 201201012222100 in words is "two hundred one trillion, two hundred one billion, twelve million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 569 1100 1138 2276 2663 2845 5326 5690 6259 10652 11380 12518 13315 14225 25036 26630 28450 29293 31295 53260 56900 58586 62590 66575 117172 120713 125180 133150 146465 156475 241426 266300 292930 312950 482852 585860 603565 625900 732325 1207130 1327843 1464650 1515247 2414260 2655686 2929300 3017825 3030494 5311372 6035650 6060988 6639215 7576235 12071300 13278430 15152470 16667717 26556860 30304940 33196075 33335434 37881175 66392150 66670868 68685697 75762350 83338585 132784300 137371394 151524700 166677170 274742788 321458719 333354340 343428485 416692925 642917438 686856970 755542667 833385850 1285834876 1373713940 1511085334 1607293595 1666771700 1717142425 3022170668 3214587190 3434284850 3536045909 3777713335 6429174380 6868569700 7072091818 7555426670 8036467975 14144183636 15110853340 16072935950 17680229545 18888566675 32145871900 35360459090 37777133350 70720918180 75554266700 88401147725 176802295450 182910011111 353604590900 365820022222 731640044444 914550055555 1829100111110 2012010122221 3658200222220 4024020244442 4572750277775 8048040488884 9145500555550 10060050611105 18291001111100 20120101222210 40240202444420 50300253055525 100600506111050 201201012222100