Search a number
-
+
10420104310 = 2572111933229
BaseRepresentation
bin10011011010001011…
…00010110001110110
3222220012021010220021
421231011202301312
5132320021314220
64441550555354
7516135265600
oct115505426166
928805233807
1010420104310
114467971660
122029808b5a
13ca0a4a7c5
1470bc7c170
1540ebe34aa
hex26d162c76

10420104310 has 48 divisors (see below), whose sum is σ = 23801927760. Its totient is φ = 3247823040.

The previous prime is 10420104271. The next prime is 10420104319. The reversal of 10420104310 is 1340102401.

10420104310 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 2×104201043102 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420104319) 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 23 ways as a sum of consecutive naturals, for example, 961225 + ... + 972004.

It is an arithmetic number, because the mean of its divisors is an integer number (495873495).

Almost surely, 210420104310 is an apocalyptic number.

10420104310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10420104310 is an abundant number, since it is smaller than the sum of its proper divisors (13381823450).

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

10420104310 is a wasteful number, since it uses less digits than its factorization.

10420104310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933261 (or 1933254 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10420104310 its reverse (1340102401), we get a palindrome (11760206711).

The spelling of 10420104310 in words is "ten billion, four hundred twenty million, one hundred four thousand, three hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 49 55 70 77 98 110 154 245 385 490 539 770 1078 2695 5390 1933229 3866458 9666145 13532603 19332290 21265519 27065206 42531038 67663015 94728221 106327595 135326030 148858633 189456442 212655190 297717266 473641105 744293165 947282210 1042010431 1488586330 2084020862 5210052155 10420104310