Search a number
-
+
10024021014 = 2371731379579
BaseRepresentation
bin10010101010111101…
…00110110000010110
3221212120222000202120
421111132212300112
5131012122133024
64334401320410
7503255526030
oct112536466026
927776860676
1010024021014
114284331397
121b39036106
13c3997aba7
146b1416c50
153da055479
hex2557a6c16

10024021014 has 32 divisors (see below), whose sum is σ = 23044504320. Its totient is φ = 2847448992.

The previous prime is 10024021003. The next prime is 10024021057. The reversal of 10024021014 is 41012042001.

10024021014 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 2×100240210142 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10024020984 and 10024021002.

It is a congruent number.

It is an unprimeable number.

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, 682524 + ... + 697055.

It is an arithmetic number, because the mean of its divisors is an integer number (720140760).

Almost surely, 210024021014 is an apocalyptic number.

10024021014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10024021014 is an abundant number, since it is smaller than the sum of its proper divisors (13020483306).

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

10024021014 is a wasteful number, since it uses less digits than its factorization.

10024021014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379764.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10024021014 its reverse (41012042001), we get a palindrome (51036063015).

The spelling of 10024021014 in words is "ten billion, twenty-four million, twenty-one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 173 346 519 1038 1211 2422 3633 7266 1379579 2759158 4138737 8277474 9657053 19314106 28971159 57942318 238667167 477334334 716001501 1432003002 1670670169 3341340338 5012010507 10024021014