Search a number
-
+
1100120220210 = 23511171131735397
BaseRepresentation
bin10000000000100100010…
…001100110001000110010
310220011121021021120212010
4100000210101212020302
5121011021234021320
62201215510143350
7142324001403534
oct20004421461062
93804537246763
101100120220210
11394616203240
12159264051b56
137c98297b4ab
143b36343d854
151d93b2ebae0
hex10024466232

1100120220210 has 128 divisors (see below), whose sum is σ = 3076735705344. Its totient is φ = 248786370560.

The previous prime is 1100120220197. The next prime is 1100120220217. The reversal of 1100120220210 is 120220210011.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1100120220217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233769 + ... + 1501628.

It is an arithmetic number, because the mean of its divisors is an integer number (24036997698).

Almost surely, 21100120220210 is an apocalyptic number.

1100120220210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100120220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538367852672).

1100120220210 is an abundant number, since it is smaller than the sum of its proper divisors (1976615485134).

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

1100120220210 is a wasteful number, since it uses less digits than its factorization.

1100120220210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735548.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1100120220210 its reverse (120220210011), we get a palindrome (1220340430221).

The spelling of 1100120220210 in words is "one trillion, one hundred billion, one hundred twenty million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 113 165 170 187 226 255 330 339 374 510 561 565 678 935 1122 1130 1243 1695 1870 1921 2486 2805 3390 3729 3842 5610 5763 6215 7458 9605 11526 12430 18645 19210 21131 28815 37290 42262 57630 63393 105655 126786 211310 316965 633930 1735397 3470794 5206191 8676985 10412382 17353970 19089367 26030955 29501749 38178734 52061910 57268101 59003498 88505247 95446835 114536202 147508745 177010494 190893670 196099861 286340505 295017490 324519239 392199722 442526235 572681010 588299583 649038478 885052470 973557717 980499305 1176599166 1622596195 1947115434 1960998610 2157098471 2941497915 3245192390 3333697637 4314196942 4867788585 5882995830 6471295413 6667395274 9735577170 10001092911 10785492355 12942590826 16668488185 20002185822 21570984710 32356477065 33336976370 36670674007 50005464555 64712954130 73341348014 100010929110 110012022021 183353370035 220024044042 366706740070 550060110105 1100120220210