Search a number
-
+
2201012110110 = 23511101281235007
BaseRepresentation
bin100000000001110110100…
…010111000001100011110
321210102012022121001112010
4200001312202320030132
5242030133100010420
64403044144052050
7315006063151302
oct40016642701436
97712168531463
102201012110110
11779497a57320
122b66a2604026
1312c729470868
147875b151d02
153c3c02264e0
hex200768b831e

2201012110110 has 128 divisors (see below), whose sum is σ = 5840441376768. Its totient is φ = 526413440000.

The previous prime is 2201012110109. The next prime is 2201012110151. The reversal of 2201012110110 is 110112101022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9248227 + ... + 9483233.

It is an arithmetic number, because the mean of its divisors is an integer number (45628448256).

Almost surely, 22201012110110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201012110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920220688384).

2201012110110 is an abundant number, since it is smaller than the sum of its proper divisors (3639429266658).

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

2201012110110 is a wasteful number, since it uses less digits than its factorization.

2201012110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235410.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2201012110110 its reverse (110112101022), we get a palindrome (2311124211132).

The spelling of 2201012110110 in words is "two trillion, two hundred one billion, twelve million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 281 303 330 505 562 606 843 1010 1111 1405 1515 1686 2222 2810 3030 3091 3333 4215 5555 6182 6666 8430 9273 11110 15455 16665 18546 28381 30910 33330 46365 56762 85143 92730 141905 170286 235007 283810 312191 425715 470014 624382 705021 851430 936573 1175035 1410042 1560955 1873146 2350070 2585077 3121910 3525105 4682865 5170154 7050210 7755231 9365730 12925385 15510462 23735707 25850770 38776155 47471414 66036967 71207121 77552310 118678535 132073934 142414242 198110901 237357070 261092777 330184835 356035605 396221802 522185554 660369670 712071210 726406637 783278331 990554505 1305463885 1452813274 1566556662 1981109010 2179219911 2610927770 3632033185 3916391655 4358439822 6669733667 7264066370 7832783310 10896099555 13339467334 20009201001 21792199110 33348668335 40018402002 66697336670 73367070337 100046005005 146734140674 200092010010 220101211011 366835351685 440202422022 733670703370 1100506055055 2201012110110