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221011121012110 = 2511131571451321799
BaseRepresentation
bin110010010000001000101001…
…010110111111110110001110
31001222112110100000122221100121
4302100020221112333312032
5212432021233434341420
62102015035104015154
764360345416206332
oct6220105126776616
91058473300587317
10221011121012110
116446a321077280
12209555293014ba
13964234a855590
143c80dd12997c2
151a84016b812aa
hexc902295bfd8e

221011121012110 has 128 divisors (see below), whose sum is σ = 467791554585600. Its totient is φ = 74118501273600.

The previous prime is 221011121012089. The next prime is 221011121012177. The reversal of 221011121012110 is 11210121110122.

221011121012110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2210111210121102 (a number of 29 digits) contains 22 as substring.

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, 10138578991 + ... + 10138600789.

It is an arithmetic number, because the mean of its divisors is an integer number (3654621520200).

Almost surely, 2221011121012110 is an apocalyptic number.

221011121012110 is an abundant number, since it is smaller than the sum of its proper divisors (246780433573490).

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

221011121012110 is a wasteful number, since it uses less digits than its factorization.

221011121012110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27914.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 221011121012110 its reverse (11210121110122), we get a palindrome (232221242122232).

The spelling of 221011121012110 in words is "two hundred twenty-one trillion, eleven billion, one hundred twenty-one million, twelve thousand, one hundred ten".

Divisors: 1 2 5 10 11 13 22 26 55 65 110 130 143 286 715 1430 1571 3142 4513 7855 9026 15710 17281 20423 21799 22565 34562 40846 43598 45130 49643 58669 86405 99286 102115 108995 117338 172810 204230 217990 224653 239789 248215 283387 293345 449306 479578 496430 566774 586690 645359 1123265 1198945 1290718 1416935 2246530 2397890 2833870 3117257 3226795 6234514 6453590 7089923 14179846 15586285 31172570 34246229 35449615 68492458 70899230 77989153 92168999 98378887 155978306 171231145 184337998 196757774 342462290 376708519 389945765 445200977 460844995 491894435 753417038 779891530 890401954 921689990 983788870 1013858989 1082167757 1278925531 1883542595 2027717978 2164335514 2226004885 2557851062 3767085190 4452009770 4897210747 5069294945 5410838785 6394627655 9794421494 10138589890 10821677570 12789255310 14068180841 24486053735 28136361682 48972107470 70340904205 140681808410 154553231477 309106462954 772766157385 1545532314770 1700085546247 2009192009201 3400171092494 4018384018402 8500427731235 10045960046005 17000855462470 20091920092010 22101112101211 44202224202422 110505560506055 221011121012110