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110330143420024 = 2311171016089119921
BaseRepresentation
bin11001000101100000111101…
…000000011010111001111000
3112110122110101101122012112001
4121011200331000122321320
5103430122113203420044
61030352545043030344
732145042543344233
oct3105407500327170
9473573341565461
10110330143420024
1132177829729070
121045a87996b3b4
13497411b0cc078
141d3601658241a
15cb4e183ca2d4
hex64583d01ae78

110330143420024 has 128 divisors (see below), whose sum is σ = 241357799390400. Its totient is φ = 46724669440000.

The previous prime is 110330143420009. The next prime is 110330143420097. The reversal of 110330143420024 is 420024341033011.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 110330143419974 and 110330143420001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 919963584 + ... + 920083504.

Almost surely, 2110330143420024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110330143420024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120678899695200).

110330143420024 is an abundant number, since it is smaller than the sum of its proper divisors (131027655970376).

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

110330143420024 is a wasteful number, since it uses less digits than its factorization.

110330143420024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126145 (or 126141 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 110330143420024 its reverse (420024341033011), we get a palindrome (530354484453035).

The spelling of 110330143420024 in words is "one hundred ten trillion, three hundred thirty billion, one hundred forty-three million, four hundred twenty thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 136 187 202 374 404 748 808 1111 1496 1717 2222 3434 4444 6089 6868 8888 12178 13736 18887 24356 37774 48712 66979 75548 103513 119921 133958 151096 207026 239842 267916 414052 479684 535832 614989 828104 959368 1138643 1229978 1319131 2038657 2277286 2459956 2638262 4077314 4554572 4919912 5276524 6764879 8154628 9109144 10454813 10553048 12112021 13529758 16309256 20909626 22425227 24224042 27059516 41819252 44850454 48448084 54119032 83638504 89700908 96896168 115002943 133232231 179401816 205904357 230005886 266464462 411808714 460011772 532928924 730198969 823617428 920023544 1065857848 1460397938 1647234856 2264947927 2920795876 4529895854 5841591752 8032188659 9059791708 12413382473 16064377318 18119583416 24826764946 32128754636 49653529892 64257509272 73750095869 99307059784 136547207203 147500191738 273094414406 295000383476 546188828812 590000766952 811251054559 1092377657624 1253751629773 1622502109118 2507503259546 3245004218236 5015006519092 6490008436472 10030013038184 13791267927503 27582535855006 55165071710012 110330143420024