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21121022411112 = 23313691320930529
BaseRepresentation
bin1001100110101100111110…
…00010011100000101101000
32202210011001100220102000110
410303112133002130011220
510232021323214123422
6112530510322534320
74306641424214511
oct463263702340550
982704040812013
1021121022411112
116803414588708
12245148b8073a0
13ba291c51c810
1453039770da08
1526961620e60c
hex13359f09c168

21121022411112 has 128 divisors (see below), whose sum is σ = 56966195664000. Its totient is φ = 6487136501760.

The previous prime is 21121022411107. The next prime is 21121022411131. The reversal of 21121022411112 is 21111422012112.

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, 691819464 + ... + 691849992.

It is an arithmetic number, because the mean of its divisors is an integer number (445048403625).

Almost surely, 221121022411112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21121022411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28483097832000).

21121022411112 is an abundant number, since it is smaller than the sum of its proper divisors (35845173252888).

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

21121022411112 is a wasteful number, since it uses less digits than its factorization.

21121022411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34451 (or 34447 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 21121022411112 its reverse (21111422012112), we get a palindrome (42232444423224).

The spelling of 21121022411112 in words is "twenty-one trillion, one hundred twenty-one billion, twenty-two million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 691 1382 2073 2764 3209 4146 5528 6418 8292 8983 9627 12836 16584 17966 19254 25672 26949 30529 35932 38508 41717 53898 61058 71864 77016 83434 91587 107796 122116 125151 166868 183174 215592 244232 250302 333736 366348 396877 500604 732696 793754 1001208 1190631 1587508 2217419 2381262 3175016 4434838 4762524 6652257 8869676 9525048 13304514 17739352 21095539 26609028 28826447 42191078 53218056 57652894 63286617 84382156 86479341 97967561 115305788 126573234 168764312 172958682 195935122 230611576 253146468 274242007 293902683 345917364 391870244 506292936 548484014 587805366 691834728 783740488 822726021 1096968028 1175610732 1273578293 1645452042 2193936056 2351221464 2547156586 3290904084 3820734879 5094313172 6581808168 7641469758 10188626344 15282939516 30565879032 67695584651 135391169302 203086753953 270782338604 406173507906 541564677208 812347015812 880042600463 1624694031624 1760085200926 2640127801389 3520170401852 5280255602778 7040340803704 10560511205556 21121022411112