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102211120110 = 235111718219451
BaseRepresentation
bin101111100110001000…
…0011110101111101110
3100202211021020212211010
41133030100132233232
53133312021320420
6114542151010050
710245613120551
oct1371420365756
9322737225733
10102211120110
113a3905703a0
1217986369926
13983b935738
144d38994698
1529d34014e0
hex17cc41ebee

102211120110 has 64 divisors (see below), whose sum is σ = 283348917504. Its totient is φ = 23320896000.

The previous prime is 102211120087. The next prime is 102211120129. The reversal of 102211120110 is 11021112201.

102211120110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1022111201103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9104116 + ... + 9115335.

It is an arithmetic number, because the mean of its divisors is an integer number (4427326836).

Almost surely, 2102211120110 is an apocalyptic number.

102211120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102211120110 is an abundant number, since it is smaller than the sum of its proper divisors (181137797394).

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

102211120110 is a wasteful number, since it uses less digits than its factorization.

102211120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18219489.

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

Adding to 102211120110 its reverse (11021112201), we get a palindrome (113232232311).

The spelling of 102211120110 in words is "one hundred two billion, two hundred eleven million, one hundred twenty 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 1870 2805 5610 18219451 36438902 54658353 91097255 109316706 182194510 200413961 273291765 309730667 400827922 546583530 601241883 619461334 929192001 1002069805 1202483766 1548653335 1858384002 2004139610 3006209415 3097306670 3407037337 4645960005 6012418830 6814074674 9291920010 10221112011 17035186685 20442224022 34070373370 51105560055 102211120110