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1012221112110 = 2351323157718759
BaseRepresentation
bin11101011101011010001…
…01000110111100101110
310120202201102121020121220
432232231011012330232
5113041012101041420
62053001415204210
7133062532330335
oct16565505067456
93522642536556
101012221112110
1136030a47a34a
12144212976666
13745b519a020
1436dc5580d1c
151b4e4611840
hexebad146f2e

1012221112110 has 128 divisors (see below), whose sum is σ = 2747342223360. Its totient is φ = 236810635776.

The previous prime is 1012221112081. The next prime is 1012221112121. The reversal of 1012221112110 is 112111222101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1012221112110.

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, 1048911 + ... + 1767669.

It is an arithmetic number, because the mean of its divisors is an integer number (21463611120).

Almost surely, 21012221112110 is an apocalyptic number.

1012221112110 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 1012221112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373671111680).

1012221112110 is an abundant number, since it is smaller than the sum of its proper divisors (1735121111250).

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

1012221112110 is a wasteful number, since it uses less digits than its factorization.

1012221112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718962.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1012221112110 its reverse (112111222101), we get a palindrome (1124332334211).

The spelling of 1012221112110 in words is "one trillion, twelve billion, two hundred twenty-one million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 157 195 230 299 314 345 390 471 598 690 785 897 942 1495 1570 1794 2041 2355 2990 3611 4082 4485 4710 6123 7222 8970 10205 10833 12246 18055 20410 21666 30615 36110 46943 54165 61230 93886 108330 140829 234715 281658 469430 704145 718759 1408290 1437518 2156277 3593795 4312554 7187590 9343867 10781385 16531457 18687734 21562770 28031601 33062914 46719335 49594371 56063202 82657285 93438670 99188742 112845163 140158005 165314570 214908941 225690326 247971855 280316010 338535489 429817882 495943710 564225815 644726823 677070978 1074544705 1128451630 1289453646 1466987119 1692677445 2149089410 2595438749 2933974238 3223634115 3385354890 4400961357 5190877498 6447268230 7334935595 7786316247 8801922714 12977193745 14669871190 15572632494 22004806785 25954387490 33740703737 38931581235 44009613570 67481407474 77863162470 101222111211 168703518685 202444222422 337407037370 506110556055 1012221112110