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10112022000 = 2432533371667
BaseRepresentation
bin10010110101011100…
…10011010111110000
3222002201112221102100
421122232103113300
5131202134201000
64351223420400
7505404524463
oct113256232760
928081487370
1010112022000
114319a77883
121b625b4700
13c51c7cc92
146bcda32da
153e2b39a00
hex25ab935f0

10112022000 has 240 divisors, whose sum is σ = 35443972512. Its totient is φ = 2686924800.

The previous prime is 10112021987. The next prime is 10112022007. The reversal of 10112022000 is 22021101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112022007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6065167 + ... + 6066833.

Almost surely, 210112022000 is an apocalyptic number.

10112022000 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 10112022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17721986256).

10112022000 is an abundant number, since it is smaller than the sum of its proper divisors (25331950512).

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

10112022000 is a wasteful number, since it uses less digits than its factorization.

10112022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10112022000 its reverse (22021101), we get a palindrome (10134043101).

The spelling of 10112022000 in words is "ten billion, one hundred twelve million, twenty-two thousand".