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111221112001110 = 235371031010396289
BaseRepresentation
bin11001010010011110101110…
…110111110101001001010110
3112120210122010112012200002120
4121102132232313311021112
5104034221314133013420
61032314135023520410
732266313560335336
oct3122365667651126
9476718115180076
10111221112001110
1132490677218191
1210583491459106
134a0a14b7570c7
141d671b82d50c6
15ccd1b2ac0d40
hex6527aedf5256

111221112001110 has 128 divisors (see below), whose sum is σ = 276836886743040. Its totient is φ = 28574075621376.

The previous prime is 111221112001067. The next prime is 111221112001183. The reversal of 111221112001110 is 11100211122111.

111221112001110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 111221112001110.

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, 1155027846 + ... + 1155124134.

It is an arithmetic number, because the mean of its divisors is an integer number (2162788177680).

Almost surely, 2111221112001110 is an apocalyptic number.

111221112001110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111221112001110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138418443371520).

111221112001110 is an abundant number, since it is smaller than the sum of its proper divisors (165615774741930).

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

111221112001110 is a wasteful number, since it uses less digits than its factorization.

111221112001110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106542.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111221112001110 its reverse (11100211122111), we get a palindrome (122321323123221).

The spelling of 111221112001110 in words is "one hundred eleven trillion, two hundred twenty-one billion, one hundred twelve million, one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 103 111 185 206 222 309 370 515 555 618 1030 1110 1545 3090 3811 7622 10103 11433 19055 20206 22866 30309 38110 50515 57165 60618 96289 101030 114330 151545 192578 288867 303090 373811 481445 577734 747622 962890 1040609 1121433 1444335 1869055 2081218 2242866 2888670 3121827 3562693 3738110 5203045 5607165 6243654 7125386 9917767 10406090 10688079 11214330 15609135 17813465 19835534 21376158 29753301 31218270 35626930 38502533 49588835 53440395 59506602 77005066 99177670 106880790 115507599 148766505 192512665 231015198 297533010 366957379 385025330 577537995 733914758 972807767 1100872137 1155075990 1834786895 1945615534 2201744274 2918423301 3669573790 4864038835 5504360685 5836846602 9728077670 11008721370 14592116505 29184233010 35993887379 71987774758 100199200001 107981662137 179969436895 200398400002 215963324274 300597600003 359938873790 500996000005 539908310685 601195200006 1001992000010 1079816621370 1502988000015 3005976000030 3707370400037 7414740800074 11122111200111 18536852000185 22244222400222 37073704000370 55610556000555 111221112001110