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21221000112102 = 23743181263246839
BaseRepresentation
bin1001101001100111001100…
…01011000110011111100110
32210010201002222120211202220
410310303212023012133212
510240141102012041402
6113044443132013210
74320111110520360
oct464634613063746
983121088524686
1021221000112102
11684185937317a
122468932001206
13bac19352257b
1453515d807d30
1526c0184e1dbc
hex134ce62c67e6

21221000112102 has 128 divisors (see below), whose sum is σ = 50097350983680. Its totient is φ = 5867003560320.

The previous prime is 21221000112089. The next prime is 21221000112173. The reversal of 21221000112102 is 20121100012212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85847599 + ... + 86094437.

It is an arithmetic number, because the mean of its divisors is an integer number (391385554560).

Almost surely, 221221000112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21221000112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25048675491840).

21221000112102 is an abundant number, since it is smaller than the sum of its proper divisors (28876350871578).

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

21221000112102 is a wasteful number, since it uses less digits than its factorization.

21221000112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247338.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21221000112102 its reverse (20121100012212), we get a palindrome (41342100124314).

The spelling of 21221000112102 in words is "twenty-one trillion, two hundred twenty-one billion, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 181 258 263 301 362 526 543 602 789 903 1086 1267 1578 1806 1841 2534 3682 3801 5523 7602 7783 11046 11309 15566 22618 23349 33927 46698 47603 54481 67854 79163 95206 108962 142809 158326 163443 237489 246839 285618 326886 333221 474978 493678 666442 740517 999663 1481034 1727873 1999326 2046929 3455746 4093858 5183619 6140787 10367238 10614077 12281574 14328503 21228154 28657006 31842231 42985509 44677859 63684462 64918657 74298539 85971018 89355718 129837314 134033577 148597078 194755971 222895617 268067154 312745013 389511942 445791234 454430599 625490026 908861198 938235039 1363291797 1876470078 1921147937 2726583594 2791502251 3842295874 5583004502 5763443811 8374506753 11526887622 11750276917 13448035559 16749013506 19540515757 23500553834 26896071118 35250830751 39081031514 40344106677 58621547271 70501661502 80688213354 82251938419 117243094542 164503876838 246755815257 493511630514 505261907431 1010523814862 1515785722293 3031571444586 3536833352017 7073666704034 10610500056051 21221000112102