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1221100110210 = 235739743113337
BaseRepresentation
bin10001110001001111001…
…111010000000110000010
311022201212120021202201210
4101301033033100012002
5130001303112011320
62332544325110550
7154135666452231
oct21611717200602
94281776252653
101221100110210
114309581a6202
121787a7b58456
138b1c2b81516
144315c97ab18
1521b6c3100e0
hex11c4f3d0182

1221100110210 has 128 divisors (see below), whose sum is σ = 3008602082304. Its totient is φ = 317093806080.

The previous prime is 1221100110203. The next prime is 1221100110211. The reversal of 1221100110210 is 120110011221.

It is not an unprimeable number, because it can be changed into a prime (1221100110211) by changing a digit.

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, 91550662 + ... + 91563998.

It is an arithmetic number, because the mean of its divisors is an integer number (23504703768).

Almost surely, 21221100110210 is an apocalyptic number.

1221100110210 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 1221100110210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504301041152).

1221100110210 is an abundant number, since it is smaller than the sum of its proper divisors (1787501972094).

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

1221100110210 is a wasteful number, since it uses less digits than its factorization.

1221100110210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13948.

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

Adding to 1221100110210 its reverse (120110011221), we get a palindrome (1341210121431).

The spelling of 1221100110210 in words is "one trillion, two hundred twenty-one billion, one hundred million, one hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 73 97 146 194 219 291 365 431 438 485 582 730 862 970 1095 1293 1455 2155 2190 2586 2910 4310 6465 7081 12930 13337 14162 21243 26674 31463 35405 40011 41807 42486 62926 66685 70810 80022 83614 94389 106215 125421 133370 157315 188778 200055 209035 212430 250842 314630 400110 418070 471945 627105 943890 973601 1254210 1293689 1947202 2587378 2920803 3051911 3881067 4868005 5748247 5841606 6103822 6468445 7762134 9155733 9736010 11496494 12936890 14604015 15259555 17244741 18311466 19405335 28741235 29208030 30519110 34489482 38810670 45778665 57482470 86223705 91557330 94439297 172447410 188878594 283317891 419622031 472196485 557579959 566635782 839244062 944392970 1115159918 1258866093 1416589455 1672739877 2098110155 2517732186 2787899795 2833178910 3345479754 4196220310 5575799590 6294330465 8363699385 12588660930 16727398770 40703337007 81406674014 122110011021 203516685035 244220022042 407033370070 610550055105 1221100110210