Search a number
-
+
10422203000 = 23531119471061
BaseRepresentation
bin10011011010011011…
…00011001001111000
3222220100012202202112
421231031203021320
5132321040444000
64442103551452
7516162156326
oct115515431170
928810182675
1010422203000
114469075410
12202a45b588
13ca1303b31
1470c266d16
1540eeaa235
hex26d363278

10422203000 has 256 divisors, whose sum is σ = 28628121600. Its totient is φ = 3510720000.

The previous prime is 10422202991. The next prime is 10422203009. The reversal of 10422203000 is 30222401.

10422203000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10422202991) and next prime (10422203009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10422203009) 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 63 ways as a sum of consecutive naturals, for example, 9822470 + ... + 9823530.

It is an arithmetic number, because the mean of its divisors is an integer number (111828600).

Almost surely, 210422203000 is an apocalyptic number.

10422203000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422203000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14314060800).

10422203000 is an abundant number, since it is smaller than the sum of its proper divisors (18205918600).

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

10422203000 is a wasteful number, since it uses less digits than its factorization.

10422203000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 10422203000 its reverse (30222401), we get a palindrome (10452425401).

The spelling of 10422203000 in words is "ten billion, four hundred twenty-two million, two hundred three thousand".