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21230311303212 = 223111016192572589
BaseRepresentation
bin1001101001111000100010…
…01010011110100000101100
32210011121010220020100201220
410310330101022132200230
510240314134143200322
6113053023111103340
74320560622401214
oct464742112364054
983147126210656
1021230311303212
1168457a7291940
12246a6b0371b50
13bb00185bb3cb
145357a42a7244
1526c3b0b8d55c
hex134f1129e82c

21230311303212 has 96 divisors (see below), whose sum is σ = 54664038777600. Its totient is φ = 6359437536000.

The previous prime is 21230311303207. The next prime is 21230311303339.

21230311303212 is nontrivially palindromic in base 10.

21230311303212 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212303113032122 (a number of 27 digits) contains 22 as substring.

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, 6966214 + ... + 9538802.

It is an arithmetic number, because the mean of its divisors is an integer number (569417070600).

Almost surely, 221230311303212 is an apocalyptic number.

21230311303212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21230311303212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27332019388800).

21230311303212 is an abundant number, since it is smaller than the sum of its proper divisors (33433727474388).

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

21230311303212 is a wasteful number, since it uses less digits than its factorization.

21230311303212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573327 (or 2573325 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2123031 and 1303212, that added together give a palindrome (3426243).

The spelling of 21230311303212 in words is "twenty-one trillion, two hundred thirty billion, three hundred eleven million, three hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 619 1111 1212 1238 1857 2222 2476 3333 3714 4444 6666 6809 7428 13332 13618 20427 27236 40854 62519 81708 125038 187557 250076 375114 687709 750228 1375418 2063127 2572589 2750836 4126254 5145178 7717767 8252508 10290356 15435534 28298479 30871068 56596958 84895437 113193916 169790874 259831489 339581748 519662978 779494467 1039325956 1558988934 1592432591 2858146379 3117977868 3184865182 4777297773 5716292758 6369730364 8574439137 9554595546 11432585516 17148878274 17516758501 19109191092 34297756548 35033517002 52550275503 70067034004 105100551006 160835691691 210201102012 321671383382 482507075073 643342766764 965014150146 1769192608601 1930028300292 3538385217202 5307577825803 7076770434404 10615155651606 21230311303212