Search a number
-
+
10003022000 = 245323217457
BaseRepresentation
bin10010101000011101…
…00000000010110000
3221211010110011112022
421110032200002300
5130441233201000
64332331251012
7502612166306
oct112416400260
927733404468
1010003022000
114273499534
121b31ba9a68
13c35507b3a
146ac70c276
153d82a8585
hex2543a00b0

10003022000 has 80 divisors (see below), whose sum is σ = 25239045312. Its totient is φ = 3827225600.

The previous prime is 10003021961. The next prime is 10003022021. The reversal of 10003022000 is 22030001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62729 + ... + 154728.

Almost surely, 210003022000 is an apocalyptic number.

10003022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003022000 is an abundant number, since it is smaller than the sum of its proper divisors (15236023312).

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

10003022000 is a wasteful number, since it uses less digits than its factorization.

10003022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217503 (or 217487 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 10003022000 its reverse (22030001), we get a palindrome (10025052001).

The spelling of 10003022000 in words is "ten billion, three million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 217457 434914 869828 1087285 1739656 2174570 3479312 4349140 5001511 5436425 8698280 10003022 10872850 17396560 20006044 21745700 25007555 27182125 40012088 43491400 50015110 54364250 80024176 86982800 100030220 108728500 125037775 200060440 217457000 250075550 400120880 434914000 500151100 625188875 1000302200 1250377750 2000604400 2500755500 5001511000 10003022000