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21110111102010 = 23571014672131243
BaseRepresentation
bin1001100110011000101001…
…01011000110010000111010
32202202002212221100110211010
410303030110223012100322
510231332001420231020
6112521503503414350
74306104142502640
oct463142453062072
982662787313733
1021110111102010
1167a9825417687
12244b3455b43b6
13ba18a0aa92b8
1452da40529190
152691c833dde0
hex133314ac643a

21110111102010 has 128 divisors (see below), whose sum is σ = 58600548624384. Its totient is φ = 4767162105600.

The previous prime is 21110111101991. The next prime is 21110111102011. The reversal of 21110111102010 is 1020111101112.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (21110111102011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8839449 + ... + 10970691.

It is an arithmetic number, because the mean of its divisors is an integer number (457816786128).

Almost surely, 221110111102010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110111102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29300274312192).

21110111102010 is an abundant number, since it is smaller than the sum of its proper divisors (37490437522374).

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

21110111102010 is a wasteful number, since it uses less digits than its factorization.

21110111102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131828.

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

Adding to 21110111102010 its reverse (1020111101112), we get a palindrome (22130222203122).

The spelling of 21110111102010 in words is "twenty-one trillion, one hundred ten billion, one hundred eleven million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 467 505 606 707 934 1010 1401 1414 1515 2121 2335 2802 3030 3269 3535 4242 4670 6538 7005 7070 9807 10605 14010 16345 19614 21210 32690 47167 49035 94334 98070 141501 235835 283002 330169 471670 660338 707505 990507 1415010 1650845 1981014 2131243 3301690 4262486 4952535 6393729 9905070 10656215 12787458 14918701 21312430 29837402 31968645 44756103 63937290 74593505 89512206 149187010 215255543 223780515 430511086 447561030 645766629 995290481 1076277715 1291533258 1506788801 1990580962 2152555430 2985871443 3013577602 3228833145 4520366403 4976452405 5971742886 6457666290 6967033367 7533944005 9040732806 9952904810 13934066734 14929357215 15067888010 20901100101 22601832015 29858714430 34835166835 41802200202 45203664030 69670333670 100524338581 104505500505 201048677162 209011001010 301573015743 502621692905 603146031486 703670370067 1005243385810 1407340740134 1507865078715 2111011110201 3015730157430 3518351850335 4222022220402 7036703700670 10555055551005 21110111102010