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1100120121210 = 2351115723778933
BaseRepresentation
bin10000000000100100010…
…001001101111101111010
310220011121021002120001110
4100000210101031331322
5121011021222334320
62201215504101150
7142324000512105
oct20004421157572
93804537076043
101100120121210
11394616145920
121592640047b6
137c982945406
143b36341573c
151d93b2cc5e0
hex1002444df7a

1100120121210 has 128 divisors (see below), whose sum is σ = 2900204538624. Its totient is φ = 264855951360.

The previous prime is 1100120121181. The next prime is 1100120121223. The reversal of 1100120121210 is 121210210011.

It is a super-2 number, since 2×11001201212102 (a number of 25 digits) contains 22 as substring.

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, 123147904 + ... + 123156836.

It is an arithmetic number, because the mean of its divisors is an integer number (22657847958).

Almost surely, 21100120121210 is an apocalyptic number.

1100120121210 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 1100120121210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450102269312).

1100120121210 is an abundant number, since it is smaller than the sum of its proper divisors (1800084417414).

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

1100120121210 is a wasteful number, since it uses less digits than its factorization.

1100120121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11488.

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

Adding to 1100120121210 its reverse (121210210011), we get a palindrome (1221330331221).

The spelling of 1100120121210 in words is "one trillion, one hundred billion, one hundred twenty million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 157 165 314 330 471 785 942 1570 1727 2355 2377 3454 4710 4754 5181 7131 8635 8933 10362 11885 14262 17270 17866 23770 25905 26147 26799 35655 44665 51810 52294 53598 71310 78441 89330 98263 130735 133995 156882 196526 261470 267990 294789 373189 392205 491315 589578 746378 784410 982630 1119567 1402481 1473945 1865945 2239134 2804962 2947890 3731890 4105079 4207443 5597835 7012405 8210158 8414886 11195670 12315237 14024810 15427291 20525395 21037215 21233741 24630474 30854582 41050790 42074430 42467482 46281873 61576185 63701223 77136455 92563746 106168705 123152370 127402446 154272910 212337410 231409365 233571151 318506115 462818730 467142302 637012230 700713453 1167855755 1401426906 2335711510 3333697337 3503567265 6667394674 7007134530 10001092011 16668486685 20002184022 33336973370 36670670707 50005460055 73341341414 100010920110 110012012121 183353353535 220024024242 366706707070 550060060605 1100120121210