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120022100020110 = 235316411375914633
BaseRepresentation
bin11011010010100011010010…
…101000110000101110001110
3120201222000000111212101012210
4123102203102220300232032
5111212420230101120420
61103133220325011250
734165211345230521
oct3322432250605616
9521860014771183
10120022100020110
11352740a5545442
1211565106553b26
1351c805cbcb652
14218d15a208bb8
15dd20b493e9e0
hex6d28d2a30b8e

120022100020110 has 128 divisors (see below), whose sum is σ = 297850948485120. Its totient is φ = 30920763801600.

The previous prime is 120022100020087. The next prime is 120022100020153. The reversal of 120022100020110 is 11020001220021.

It is a Curzon number.

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, 8202145354 + ... + 8202159986.

It is an arithmetic number, because the mean of its divisors is an integer number (2326960535040).

Almost surely, 2120022100020110 is an apocalyptic number.

120022100020110 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 120022100020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925474242560).

120022100020110 is an abundant number, since it is smaller than the sum of its proper divisors (177828848465010).

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

120022100020110 is a wasteful number, since it uses less digits than its factorization.

120022100020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29074.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120022100020110 its reverse (11020001220021), we get a palindrome (131042101240131).

The spelling of 120022100020110 in words is "one hundred twenty trillion, twenty-two billion, one hundred million, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 641 930 1282 1923 3205 3846 6410 9615 13759 14633 19230 19871 27518 29266 39742 41277 43899 59613 68795 73165 82554 87798 99355 119226 137590 146330 198710 206385 219495 298065 412770 426529 438990 453623 596130 853058 907246 1279587 1360869 2132645 2268115 2559174 2721738 4265290 4536230 6397935 6804345 8819519 9379753 12795870 13608690 17639038 18759506 26458557 28139259 44097595 46898765 52917114 56278518 88195190 93797530 132292785 140696295 201335447 264585570 273405089 281392590 290772343 402670894 546810178 581544686 604006341 820215267 872317029 1006677235 1208012682 1367025445 1453861715 1640430534 1744634058 2013354470 2734050890 2907723430 3020031705 4101076335 4361585145 6040063410 6241398857 8202152670 8723170290 12482797714 18724196571 31206994285 37448393142 62413988570 93620982855 129056021527 187241965710 258112043054 387168064581 645280107635 774336129162 1290560215270 1935840322905 3871680645810 4000736667337 8001473334674 12002210002011 20003683336685 24004420004022 40007366673370 60011050010055 120022100020110