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12142242010 = 25171731812281
BaseRepresentation
bin10110100111011101…
…11110100011011010
31011100012202210201001
423103232332203122
5144331403221020
65324510215214
7606616232323
oct132356764332
934305683631
1012142242010
115170a85158
12242a4b450a
1311b67784b2
1483288744a
154b0ebb50a
hex2d3bbe8da

12142242010 has 64 divisors (see below), whose sum is σ = 23414305824. Its totient is φ = 4517683200.

The previous prime is 12142241999. The next prime is 12142242017. The reversal of 12142242010 is 1024224121.

12142242010 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 2023290361 + 10118951649 = 44981^2 + 100593^2 .

It is not an unprimeable number, because it can be changed into a prime (12142242017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5322070 + ... + 5324350.

Almost surely, 212142242010 is an apocalyptic number.

12142242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12142242010 is a deficient number, since it is larger than the sum of its proper divisors (11272063814).

12142242010 is a wasteful number, since it uses less digits than its factorization.

12142242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 12142242010 its reverse (1024224121), we get a palindrome (13166466131).

The spelling of 12142242010 in words is "twelve billion, one hundred forty-two million, two hundred forty-two thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 173 181 346 362 865 905 1730 1810 2281 2941 3077 4562 5882 6154 11405 14705 15385 22810 29410 30770 31313 38777 62626 77554 156565 193885 313130 387770 394613 412861 532321 789226 825722 1064642 1973065 2064305 2661605 3946130 4128610 5323210 6708421 7018637 13416842 14037274 33542105 35093185 67084210 70186370 71424953 142849906 357124765 714249530 1214224201 2428448402 6071121005 12142242010