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10114342000 = 2453723101311
BaseRepresentation
bin10010110101101110…
…01001110001110000
3222002212220210212021
421122313021301300
5131203232421000
64351345241224
7505433326360
oct113267116160
928085823767
1010114342000
114320311934
121b63333214
13c525b2c69
146bd4089a0
153e2e4711a
hex25adc9c70

10114342000 has 320 divisors, whose sum is σ = 29548965888. Its totient is φ = 3273600000.

The previous prime is 10114341989. The next prime is 10114342001. The reversal of 10114342000 is 24341101.

10114342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114342001) 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, 32521845 + ... + 32522155.

Almost surely, 210114342000 is an apocalyptic number.

10114342000 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 10114342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14774482944).

10114342000 is an abundant number, since it is smaller than the sum of its proper divisors (19434623888).

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

10114342000 is a wasteful number, since it uses less digits than its factorization.

10114342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10114342000 its reverse (24341101), we get a palindrome (10138683101).

The spelling of 10114342000 in words is "ten billion, one hundred fourteen million, three hundred forty-two thousand".