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21011306022 = 232710715110321
BaseRepresentation
bin10011100100010111…
…110001011000100110
32000020022110221022100
4103210113301120212
5321012343243042
613352533112530
71342452103650
oct234427613046
960208427270
1021011306022
118a02375223
1240a4788746
131c9b072c75
1410347376d0
1582e93224c
hex4e45f1626

21011306022 has 96 divisors (see below), whose sum is σ = 52867137024. Its totient is φ = 5907168000.

The previous prime is 21011305999. The next prime is 21011306027. The reversal of 21011306022 is 22060311012.

21011306022 is a `hidden beast` number, since 21 + 0 + 11 + 30 + 602 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21011305986 and 21011306004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21011306027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030622 + ... + 2040942.

It is an arithmetic number, because the mean of its divisors is an integer number (550699344).

Almost surely, 221011306022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011306022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26433568512).

21011306022 is an abundant number, since it is smaller than the sum of its proper divisors (31855831002).

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

21011306022 is a wasteful number, since it uses less digits than its factorization.

21011306022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10594 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21011306022 its reverse (22060311012), we get a palindrome (43071617034).

The spelling of 21011306022 in words is "twenty-one billion, eleven million, three hundred six thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 151 214 302 321 453 642 749 906 963 1057 1359 1498 1926 2114 2247 2718 3171 4494 6342 6741 9513 10321 13482 16157 19026 20642 30963 32314 48471 61926 72247 92889 96942 113099 144494 145413 185778 216741 226198 290826 339297 433482 650223 678594 1017891 1104347 1300446 1558471 2035782 2208694 3116942 3313041 4675413 6626082 7730429 9350826 9939123 10909297 14026239 15460858 19878246 21818594 23191287 28052478 32727891 46382574 65455782 69573861 98183673 139147722 166756397 196367346 333512794 500269191 1000538382 1167294779 1500807573 2334589558 3001615146 3501884337 7003768674 10505653011 21011306022