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10221011110002 = 237111910111528609
BaseRepresentation
bin1001010010111100001110…
…1111001000100001110010
31100012010012211121220202010
42110233003233020201302
52314430112321010002
633423245004103350
72103305116650630
oct224570357104162
940163184556663
1010221011110002
113290785346140
121190a97b34b56
13591ab647c364
142749b18d6350
1512ad12cab46c
hex94bc3bc8872

10221011110002 has 128 divisors (see below), whose sum is σ = 27093155788800. Its totient is φ = 2490179328000.

The previous prime is 10221011109977. The next prime is 10221011110069. The reversal of 10221011110002 is 20001111012201.

It is a super-3 number, since 3×102210111100023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10221011110002.

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, 4877727 + ... + 6650882.

It is an arithmetic number, because the mean of its divisors is an integer number (211665279600).

Almost surely, 210221011110002 is an apocalyptic number.

10221011110002 is an abundant number, since it is smaller than the sum of its proper divisors (16872144678798).

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

10221011110002 is a wasteful number, since it uses less digits than its factorization.

10221011110002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528752.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10221011110002 its reverse (20001111012201), we get a palindrome (30222122122203).

The spelling of 10221011110002 in words is "ten trillion, two hundred twenty-one billion, eleven million, one hundred ten thousand, two".

Divisors: 1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 101 114 133 154 202 209 231 266 303 399 418 462 606 627 707 798 1111 1254 1414 1463 1919 2121 2222 2926 3333 3838 4242 4389 5757 6666 7777 8778 11514 13433 15554 21109 23331 26866 40299 42218 46662 63327 80598 126654 147763 295526 443289 886578 11528609 23057218 34585827 69171654 80700263 126814699 161400526 219043571 242100789 253629398 380444097 438087142 484201578 657130713 760888194 887702893 1164389509 1314261426 1533304997 1775405786 2328779018 2409479281 2663108679 3066609994 3493168527 4599914991 4818958562 5326217358 6986337054 7228437843 8150726563 9199829982 12808284599 14456875686 16301453126 16866354967 22123400671 24452179689 25616569198 33732709934 38424853797 44246801342 48904359378 50599064901 66370202013 76849707594 89657992193 101198129802 132740404026 154863804697 179315984386 243357407381 268973976579 309727609394 464591414091 486714814762 537947953158 730072222143 929182828182 1460144444286 1703501851667 3407003703334 5110505555001 10221011110002