Search a number
-
+
222201101112100 = 2252112910168965859
BaseRepresentation
bin110010100001011100111001…
…101100110101001100100100
31002010202012212210011101112021
4302201130321230311030210
5213111020323341041400
62104325435431232524
764542333266156035
oct6241347154651444
91063665783141467
10222201101112100
1164888a59897170
1220b0808b218744
1396ca6212a6066
143cc283ab60a8c
151aa4e61d7c71a
hexca1739b35324

222201101112100 has 144 divisors (see below), whose sum is σ = 549536524286400. Its totient is φ = 77241760960000.

The previous prime is 222201101112031. The next prime is 222201101112101. The reversal of 222201101112100 is 1211101102222.

It is not an unprimeable number, because it can be changed into a prime (222201101112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31261030 + ... + 37704829.

It is an arithmetic number, because the mean of its divisors is an integer number (3816225863100).

Almost surely, 2222201101112100 is an apocalyptic number.

222201101112100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222201101112100 is an abundant number, since it is smaller than the sum of its proper divisors (327335423174300).

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

222201101112100 is a wasteful number, since it uses less digits than its factorization.

222201101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68966014 (or 68966007 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 222201101112100 its reverse (1211101102222), we get a palindrome (223412202214322).

The spelling of 222201101112100 in words is "two hundred twenty-two trillion, two hundred one billion, one hundred one million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 101 110 116 145 202 220 275 290 319 404 505 550 580 638 725 1010 1100 1111 1276 1450 1595 2020 2222 2525 2900 2929 3190 4444 5050 5555 5858 6380 7975 10100 11110 11716 14645 15950 22220 27775 29290 31900 32219 55550 58580 64438 73225 111100 128876 146450 161095 292900 322190 644380 805475 1610950 3221900 68965859 137931718 275863436 344829295 689658590 758624449 1379317180 1517248898 1724146475 2000009911 3034497796 3448292950 3793122245 4000019822 6896585900 6965551759 7586244490 8000039644 10000049555 13931103518 15172488980 18965611225 20000099110 22000109021 27862207036 34827758795 37931222450 40000198220 44000218042 50000247775 69655517590 75862444900 76621069349 88000436084 100000495550 110000545105 139311035180 153242138698 174138793975 200000991100 202001001011 220001090210 306484277396 348277587950 383105346745 404002002022 440002180420 550002725525 696555175900 766210693490 808004004044 1010005005055 1100005451050 1532421386980 1915526733725 2020010010110 2200010902100 2222011011121 3831053467450 4040020020220 4444022022242 5050025025275 7662106934900 8888044044484 10100050050550 11110055055605 20200100101100 22220110111210 44440220222420 55550275278025 111100550556050 222201101112100