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201111000111102 = 231011394933483991
BaseRepresentation
bin101101101110100011001101…
…101110001101011111111110
3222101002000122101100100221110
4231232203031232031133332
5202330000312012023402
61551421041253342450
760234535030410024
oct5556431556153776
9871060571310843
10201111000111102
1159097772678654
121a6807ab037a26
13882a8bc000223
143793b77dca714
15183b55a60256c
hexb6e8cdb8d7fe

201111000111102 has 64 divisors (see below), whose sum is σ = 409210512238080. Its totient is φ = 65882267568000.

The previous prime is 201111000111059. The next prime is 201111000111149.

201111000111102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415284327 + ... + 415768317.

It is an arithmetic number, because the mean of its divisors is an integer number (6393914253720).

Almost surely, 2201111000111102 is an apocalyptic number.

201111000111102 is an abundant number, since it is smaller than the sum of its proper divisors (208099512126978).

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

201111000111102 is a wasteful number, since it uses less digits than its factorization.

201111000111102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489169.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 201111000 and 111102, that added together give a palindrome (201222102).

The spelling of 201111000111102 in words is "two hundred one trillion, one hundred eleven billion, one hundred eleven thousand, one hundred two".

Divisors: 1 2 3 6 101 139 202 278 303 417 606 834 4933 9866 14039 14799 28078 29598 42117 84234 483991 498233 685687 967982 996466 1371374 1451973 1494699 2057061 2903946 2989398 4114122 48883091 67274749 69254387 97766182 134549498 138508774 146649273 201824247 207763161 293298546 403648494 415526322 2387527603 4775055206 6794749649 7162582809 13589499298 14325165618 20384248947 40768497894 241140287903 331866336817 482280575806 663732673634 723420863709 995599010451 1446841727418 1991198020902 33518500018517 67037000037034 100555500055551 201111000111102