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1110121112022 = 23131031091319677
BaseRepresentation
bin10000001001111000010…
…111111110000111010110
310221010102020201112022120
4100021320113332013112
5121142012001041042
62205552124040410
7143126556521526
oct20117027760726
93833366645276
101110121112022
1139888847728a
1215b195393106
13808b78bb860
143ba31755686
151dd242d3dec
hex102785fe1d6

1110121112022 has 128 divisors (see below), whose sum is σ = 2455245112320. Its totient is φ = 332563345920.

The previous prime is 1110121112017. The next prime is 1110121112077. The reversal of 1110121112022 is 2202111210111.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1110121111992 and 1110121112010.

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, 114712648 + ... + 114722324.

It is an arithmetic number, because the mean of its divisors is an integer number (19181602440).

Almost surely, 21110121112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110121112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227622556160).

1110121112022 is an abundant number, since it is smaller than the sum of its proper divisors (1345124000298).

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

1110121112022 is a wasteful number, since it uses less digits than its factorization.

1110121112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10038.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1110121112022 its reverse (2202111210111), we get a palindrome (3312232322133).

The spelling of 1110121112022 in words is "one trillion, one hundred ten billion, one hundred twenty-one million, one hundred twelve thousand, twenty-two".

Divisors: 1 2 3 6 13 26 39 78 103 109 131 206 218 262 309 327 393 618 654 786 1339 1417 1703 2678 2834 3406 4017 4251 5109 8034 8502 9677 10218 11227 13493 14279 19354 22454 26986 28558 29031 33681 40479 42837 58062 67362 80958 85674 125801 145951 175409 185627 251602 291902 350818 371254 377403 437853 526227 556881 754806 875706 996731 1052454 1054793 1113762 1267687 1470737 1993462 2109586 2535374 2941474 2990193 3164379 3803061 4412211 5980386 6328758 7606122 8824422 12957503 13712309 16479931 19119581 25915006 27424618 32959862 38239162 38872509 41136927 49439793 57358743 77745018 82273854 98879586 108643679 114717486 130571761 138177883 217287358 261143522 276355766 325931037 391715283 414533649 651862074 783430566 829067298 1412367827 1697432893 1796312479 2824735654 3394865786 3592624958 4237103481 5092298679 5388937437 8474206962 10184597358 10777874874 14232321949 28464643898 42696965847 85393931694 185020185337 370040370674 555060556011 1110121112022