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10114442300 = 2252472152009
BaseRepresentation
bin10010110101101111…
…00010010000111100
3222002220002220110002
421122313202100330
5131203244123200
64351351333432
7505434224654
oct113267422074
928086086402
1010114442300
114320380226
121b63381278
13c52619801
146bd433364
153e2e66bd5
hex25ade243c

10114442300 has 36 divisors (see below), whose sum is σ = 22415336160. Its totient is φ = 3959694720.

The previous prime is 10114442279. The next prime is 10114442321. The reversal of 10114442300 is 324441101.

10114442300 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 (10114442279) and next prime (10114442321).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1071305 + ... + 1080704.

Almost surely, 210114442300 is an apocalyptic number.

10114442300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10114442300 is an abundant number, since it is smaller than the sum of its proper divisors (12300893860).

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

10114442300 is a wasteful number, since it uses less digits than its factorization.

10114442300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152070 (or 2152063 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10114442300 its reverse (324441101), we get a palindrome (10438883401).

The spelling of 10114442300 in words is "ten billion, one hundred fourteen million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 940 1175 2350 4700 2152009 4304018 8608036 10760045 21520090 43040180 53800225 101144423 107600450 202288846 215200900 404577692 505722115 1011444230 2022888460 2528610575 5057221150 10114442300