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120232133110110 = 23572332663922729
BaseRepresentation
bin11011010101100110111001…
…100101011010100101011110
3120202201002011002011211210010
4123111212321211122211132
5111224340402034010420
61103413513543024050
734216325225105010
oct3325467145324536
9522632132154703
10120232133110110
113534518577165a
121159996213b026
135211ac2a22568
1421993a29c41b0
15dd77a8b0b4e0
hex6d59b995a95e

120232133110110 has 128 divisors (see below), whose sum is σ = 331319656212480. Its totient is φ = 27353378359296.

The previous prime is 120232133110099. The next prime is 120232133110169. The reversal of 120232133110110 is 11011331232021.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 129839226 + ... + 130761954.

It is an arithmetic number, because the mean of its divisors is an integer number (2588434814160).

Almost surely, 2120232133110110 is an apocalyptic number.

120232133110110 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 120232133110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165659828106240).

120232133110110 is an abundant number, since it is smaller than the sum of its proper divisors (211087523102370).

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

120232133110110 is a wasteful number, since it uses less digits than its factorization.

120232133110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925642.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 120232133110110 its reverse (11011331232021), we get a palindrome (131243464342131).

The spelling of 120232133110110 in words is "one hundred twenty trillion, two hundred thirty-two billion, one hundred thirty-three million, one hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 233 466 699 1165 1398 1631 2330 2663 3262 3495 4893 5326 6990 7989 8155 9786 13315 15978 16310 18641 24465 26630 37282 39945 48930 55923 79890 93205 111846 186410 279615 559230 620479 922729 1240958 1845458 1861437 2768187 3102395 3722874 4343353 4613645 5536374 6204790 6459103 8686706 9227290 9307185 12918206 13030059 13840935 18614370 19377309 21716765 26060118 27681870 32295515 38754618 43433530 64591030 65150295 96886545 130300590 193773090 214995857 429991714 644987571 1074979285 1289975142 1504970999 2149958570 2457227327 3009941998 3224937855 4514912997 4914454654 6449875710 7371681981 7524854995 9029825994 12286136635 14743363962 15049709990 17200591289 22574564985 24572273270 34401182578 36858409905 45149129970 51601773867 73716819810 86002956445 103203547734 172005912890 258008869335 516017738670 572533967191 1145067934382 1717601901573 2862669835955 3435203803146 4007737770337 5725339671910 8015475540674 8588009507865 12023213311011 17176019015730 20038688851685 24046426622022 40077377703370 60116066555055 120232133110110