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21210244201212 = 223113723711831633
BaseRepresentation
bin1001101001010011001010…
…00100100011101011111100
32210002200100101102221211220
410310221211010203223330
510240002040003414322
6113035503543313340
74316250424010523
oct464514504435374
983080311387756
1021210244201212
1168382399a1120
12246682ba4b850
13bab16b04b061
1453481d1154ba
1526bad90ba55c
hex134a65123afc

21210244201212 has 96 divisors (see below), whose sum is σ = 55472310507264. Its totient is φ = 6250993689600.

The previous prime is 21210244201207. The next prime is 21210244201219.

21210244201212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210244201219) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10664148 + ... + 12495780.

It is an arithmetic number, because the mean of its divisors is an integer number (577836567784).

Almost surely, 221210244201212 is an apocalyptic number.

21210244201212 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 21210244201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27736155253632).

21210244201212 is an abundant number, since it is smaller than the sum of its proper divisors (34262066306052).

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

21210244201212 is a wasteful number, since it uses less digits than its factorization.

21210244201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834059 (or 1834057 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 2121024 and 4201212, that added together give a palindrome (6322236).

The spelling of 21210244201212 in words is "twenty-one trillion, two hundred ten billion, two hundred forty-four million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2371 2442 4742 4884 7113 9484 14226 26081 28452 52162 78243 87727 104324 156486 175454 263181 312972 350908 526362 964997 1052724 1831633 1929994 2894991 3663266 3859988 5494899 5789982 7326532 10989798 11579964 20147963 21979596 40295926 60443889 67770421 80591852 120887778 135540842 203311263 241775556 271081684 406622526 745474631 813245052 1490949262 2236423893 2981898524 4342801843 4472847786 8685603686 8945695572 13028405529 17371207372 26056811058 47770820273 52113622116 95541640546 143312460819 160683668191 191083281092 286624921638 321367336382 482051004573 573249843276 642734672764 964102009146 1767520350101 1928204018292 3535040700202 5302561050303 7070081400404 10605122100606 21210244201212