Search a number
-
+
10421342010 = 2335151255613
BaseRepresentation
bin10011011010010100…
…10000111100111010
3222220021121000201000
421231022100330322
5132320330421020
64442033305430
7516151642212
oct115512207472
928807530630
1010421342010
114468637552
12202a105276
13ca1091c81
1470c0c1242
1540ed8a090
hex26d290f3a

10421342010 has 64 divisors (see below), whose sum is σ = 27974396160. Its totient is φ = 2760609600.

The previous prime is 10421341981. The next prime is 10421342011. The reversal of 10421342010 is 1024312401.

10421342010 is a `hidden beast` number, since 10 + 421 + 34 + 201 + 0 = 666.

10421342010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10421342011) 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 31 ways as a sum of consecutive naturals, for example, 87037 + ... + 168576.

It is an arithmetic number, because the mean of its divisors is an integer number (437099940).

Almost surely, 210421342010 is an apocalyptic number.

10421342010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10421342010 is an abundant number, since it is smaller than the sum of its proper divisors (17553054150).

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

10421342010 is a wasteful number, since it uses less digits than its factorization.

10421342010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255780 (or 255774 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10421342010 its reverse (1024312401), we get a palindrome (11445654411).

The spelling of 10421342010 in words is "ten billion, four hundred twenty-one million, three hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 151 270 302 453 755 906 1359 1510 2265 2718 4077 4530 6795 8154 13590 20385 40770 255613 511226 766839 1278065 1533678 2300517 2556130 3834195 4601034 6901551 7668390 11502585 13803102 23005170 34507755 38597563 69015510 77195126 115792689 192987815 231585378 347378067 385975630 578963445 694756134 1042134201 1157926890 1736890335 2084268402 3473780670 5210671005 10421342010