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21011105346 = 237112910115527
BaseRepresentation
bin10011100100010111…
…000000011001000010
32000020022002202000220
4103210113000121002
5321012320332341
613352524523510
71342450306620
oct234427003102
960208082026
1021011105346
118a02248480
1240a46b0596
131c9b00281a
1410346c4510
1582e8e2a66
hex4e45c0642

21011105346 has 128 divisors (see below), whose sum is σ = 54738063360. Its totient is φ = 5216736000.

The previous prime is 21011105299. The next prime is 21011105359. The reversal of 21011105346 is 64350111012.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345435 + ... + 1360961.

It is an arithmetic number, because the mean of its divisors is an integer number (427641120).

Almost surely, 221011105346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011105346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369031680).

21011105346 is an abundant number, since it is smaller than the sum of its proper divisors (33726958014).

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

21011105346 is a wasteful number, since it uses less digits than its factorization.

21011105346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15680.

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 21011105346 its reverse (64350111012), we get a palindrome (85361216358).

The spelling of 21011105346 in words is "twenty-one billion, eleven million, one hundred five thousand, three hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 29 33 42 58 66 77 87 101 154 174 202 203 231 303 319 406 462 606 609 638 707 957 1111 1218 1414 1914 2121 2222 2233 2929 3333 4242 4466 5858 6666 6699 7777 8787 13398 15527 15554 17574 20503 23331 31054 32219 41006 46581 46662 61509 64438 93162 96657 108689 123018 170797 193314 217378 225533 326067 341594 450283 451066 512391 652134 676599 900566 1024782 1195579 1350849 1353198 1568227 2391158 2701698 3136454 3151981 3586737 4704681 4953113 6303962 7173474 9409362 9455943 9906226 10977589 14859339 17250497 18911886 21955178 29718678 32932767 34500994 34671791 45478583 51751491 65865534 69343582 90957166 103502982 104015373 120753479 136435749 208030746 241506958 272871498 318350081 362260437 500264413 636700162 724520874 955050243 1000528826 1500793239 1910100486 3001586478 3501850891 7003701782 10505552673 21011105346