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10133422000 = 2453131973281
BaseRepresentation
bin10010110111111111…
…11011111110110000
3222011012211011200221
421123333323332300
5131223124001000
64353310222424
7506054444242
oct113377737660
928135734627
1010133422000
114330063a29
121b697b4a14
13c565336c0
146c1b74092
153e496561a
hex25bffbfb0

10133422000 has 320 divisors, whose sum is σ = 28256941440. Its totient is φ = 3483648000.

The previous prime is 10133421989. The next prime is 10133422001. The reversal of 10133422000 is 22433101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10133422001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36061860 + ... + 36062140.

It is an arithmetic number, because the mean of its divisors is an integer number (88302942).

Almost surely, 210133422000 is an apocalyptic number.

10133422000 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 10133422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128470720).

10133422000 is an abundant number, since it is smaller than the sum of its proper divisors (18123519440).

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

10133422000 is a wasteful number, since it uses less digits than its factorization.

10133422000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10133422000 its reverse (22433101), we get a palindrome (10155855101).

The spelling of 10133422000 in words is "ten billion, one hundred thirty-three million, four hundred twenty-two thousand".