Search a number
-
+
10242003000 = 233533414001
BaseRepresentation
bin10011000100111100…
…01001000000111000
3222102210010122211110
421202132021000320
5131433423044000
64412145400320
7511543406025
oct114236110070
928383118743
1010242003000
114386386499
121b9a0390a0
13c72b8cc08
146d235a54c
153ee262850
hex262789038

10242003000 has 64 divisors (see below), whose sum is σ = 31955058720. Its totient is φ = 2731200000.

The previous prime is 10242002987. The next prime is 10242003001. The reversal of 10242003000 is 30024201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704001 + ... + 1710000.

Almost surely, 210242003000 is an apocalyptic number.

10242003000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242003000 is an abundant number, since it is smaller than the sum of its proper divisors (21713055720).

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

10242003000 is a wasteful number, since it uses less digits than its factorization.

10242003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414025 (or 3414011 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 10242003000 its reverse (30024201), we get a palindrome (10272027201).

The spelling of 10242003000 in words is "ten billion, two hundred forty-two million, three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 3414001 6828002 10242003 13656004 17070005 20484006 27312008 34140010 40968012 51210015 68280020 81936024 85350025 102420030 136560040 170700050 204840060 256050075 341400100 409680120 426750125 512100150 682800200 853500250 1024200300 1280250375 1707000500 2048400600 2560500750 3414001000 5121001500 10242003000