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12330120010 = 25132173181233
BaseRepresentation
bin10110111101110111…
…01011001101001010
31011211022021222212111
423132323223031022
5200223002320020
65355301132534
7614360201515
oct133673531512
934738258774
1012330120010
11525803872a
1224813ba14a
13121667a100
1484d7d1d7c
154c272dd5a
hex2deeeb34a

12330120010 has 96 divisors (see below), whose sum is σ = 24409567728. Its totient is φ = 4482017280.

The previous prime is 12330120007. The next prime is 12330120031. The reversal of 12330120010 is 1002103321.

It can be written as a sum of positive squares in 24 ways, for example, as 5368053289 + 6962066721 = 73267^2 + 83439^2 .

It is a super-2 number, since 2×123301200102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52918854 + ... + 52919086.

Almost surely, 212330120010 is an apocalyptic number.

12330120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12330120010 is a deficient number, since it is larger than the sum of its proper divisors (12079447718).

12330120010 is a wasteful number, since it uses less digits than its factorization.

12330120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 12330120010 its reverse (1002103321), we get a palindrome (13332223331).

The spelling of 12330120010 in words is "twelve billion, three hundred thirty million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 13 26 65 130 169 173 181 233 338 346 362 466 845 865 905 1165 1690 1730 1810 2249 2330 2353 3029 4498 4706 6058 11245 11765 15145 22490 23530 29237 30290 30589 31313 39377 40309 42173 58474 61178 62626 78754 80618 84346 146185 152945 156565 196885 201545 210865 292370 305890 313130 393770 403090 407069 421730 524017 548249 814138 1048034 1096498 2035345 2620085 2741245 4070690 5240170 5291897 5482490 6812221 7127237 7295929 10583794 13624442 14254474 14591858 26459485 34061105 35636185 36479645 52918970 68122210 71272370 72959290 94847077 189694154 474235385 948470770 1233012001 2466024002 6165060005 12330120010