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10420442310 = 2351254127697
BaseRepresentation
bin10011011010001101…
…10101010011000110
3222220012220022112210
421231012311103012
5132320113123220
64442002124250
7516141204165
oct115506652306
928805808483
1010420442310
1144680825a3
122029950686
13ca0b385c5
1470bd293dc
1540ec5d6e0
hex26d1b54c6

10420442310 has 32 divisors (see below), whose sum is σ = 25011958752. Its totient is φ = 2778462720.

The previous prime is 10420442299. The next prime is 10420442317. The reversal of 10420442310 is 1324402401.

10420442310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×104204423102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420442317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 362382 + ... + 390078.

It is an arithmetic number, because the mean of its divisors is an integer number (781623711).

Almost surely, 210420442310 is an apocalyptic number.

10420442310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10420442310 is an abundant number, since it is smaller than the sum of its proper divisors (14591516442).

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

10420442310 is a wasteful number, since it uses less digits than its factorization.

10420442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40248.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10420442310 its reverse (1324402401), we get a palindrome (11744844711).

The spelling of 10420442310 in words is "ten billion, four hundred twenty million, four hundred forty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 12541 25082 27697 37623 55394 62705 75246 83091 125410 138485 166182 188115 276970 376230 415455 830910 347348077 694696154 1042044231 1736740385 2084088462 3473480770 5210221155 10420442310