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21112021112 = 23713291019901
BaseRepresentation
bin10011101010010111…
…111110000001111000
32000111022222210102212
4103222113332001320
5321214134133422
613410531514252
71345114134650
oct235227760170
960438883385
1021112021112
118a54204a36
124112458988
131cb5ba70b0
141043c73360
158386c89e2
hex4ea5fe078

21112021112 has 128 divisors (see below), whose sum is σ = 50904201600. Its totient is φ = 7983360000.

The previous prime is 21112021111. The next prime is 21112021157.

21112021112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112021111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2127362 + ... + 2137262.

It is an arithmetic number, because the mean of its divisors is an integer number (397689075).

Almost surely, 221112021112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21112021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25452100800).

21112021112 is an abundant number, since it is smaller than the sum of its proper divisors (29792180488).

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

21112021112 is a wasteful number, since it uses less digits than its factorization.

21112021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10057 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

It can be divided in two parts, 211120 and 21112, that added together give a palindrome (232232).

The spelling of 21112021112 in words is "twenty-one billion, one hundred twelve million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 101 104 116 182 202 203 232 364 377 404 406 707 728 754 808 812 1313 1414 1508 1624 2626 2639 2828 2929 3016 5252 5278 5656 5858 9191 9901 10504 10556 11716 18382 19802 20503 21112 23432 36764 38077 39604 41006 69307 73528 76154 79208 82012 128713 138614 152308 164024 257426 266539 277228 287129 304616 514852 533078 554456 574258 900991 1000001 1029704 1066156 1148516 1801982 2000002 2009903 2132312 2297032 3603964 3732677 4000004 4019806 7000007 7207928 7465354 8000008 8039612 13000013 14000014 14930708 16079224 26000026 26128739 28000028 29000029 29861416 52000052 52257478 56000056 58000058 91000091 104000104 104514956 116000116 182000182 203000203 209029912 232000232 364000364 377000377 406000406 728000728 754000754 812000812 1508001508 1624001624 2639002639 3016003016 5278005278 10556010556 21112021112