Search a number
-
+
2210012101110 = 23511171723228637
BaseRepresentation
bin100000001010001110111…
…111000111100111110110
321211021102112122222012010
4200022032333013213312
5242202101044213420
64411133205105050
7315445105624152
oct40121677074766
97737375588163
102210012101110
11782296241810
122b83946b8186
13130531c19a18
1478d72564062
153c74a4004e0
hex2028efc79f6

2210012101110 has 128 divisors (see below), whose sum is σ = 6130161575424. Its totient is φ = 503950325760.

The previous prime is 2210012101103. The next prime is 2210012101133. The reversal of 2210012101110 is 111012100122.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9551712 + ... + 9780348.

It is an arithmetic number, because the mean of its divisors is an integer number (47891887308).

Almost surely, 22210012101110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2210012101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065080787712).

2210012101110 is an abundant number, since it is smaller than the sum of its proper divisors (3920149474314).

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

2210012101110 is a wasteful number, since it uses less digits than its factorization.

2210012101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230398.

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

Adding to 2210012101110 its reverse (111012100122), we get a palindrome (2321024201232).

The spelling of 2210012101110 in words is "two trillion, two hundred ten billion, twelve million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1723 1870 2805 3446 5169 5610 8615 10338 17230 18953 25845 29291 37906 51690 56859 58582 87873 94765 113718 146455 175746 189530 228637 284295 292910 322201 439365 457274 568590 644402 685911 878730 966603 1143185 1371822 1611005 1933206 2286370 2515007 3222010 3429555 3886829 4833015 5030014 6859110 7545021 7773658 9666030 11660487 12575035 15090042 19434145 23320974 25150070 37725105 38868290 42755119 58302435 75450210 85510238 116604870 128265357 213775595 256530714 393941551 427551190 641326785 787883102 1181824653 1282653570 1969707755 2363649306 3939415510 4333357061 5909123265 6697006367 8666714122 11818246530 13000071183 13394012734 20091019101 21666785305 26000142366 33485031835 40182038202 43333570610 65000355915 66970063670 73667070037 100455095505 130000711830 147334140074 200910191010 221001210111 368335350185 442002420222 736670700370 1105006050555 2210012101110