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200001112101 = 3272453517261
BaseRepresentation
bin1011101001000011111…
…1101100100000100101
3201010020102101012000100
42322100333230200211
511234100241041401
6231513525534313
720310133255200
oct2722077544045
9633212335010
10200001112101
117790246079a
1232917b74399
1315b2461b41b
1499742d0937
1553085e3b86
hex2e90fec825

200001112101 has 18 divisors (see below), whose sum is σ = 336056291142. Its totient is φ = 114286349520.

The previous prime is 200001112093. The next prime is 200001112109. The reversal of 200001112101 is 101211100002.

It is a happy number.

200001112101 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 (200001112093) and next prime (200001112109).

It can be written as a sum of positive squares in only one way, i.e., 184156848225 + 15844263876 = 429135^2 + 125874^2 .

It is not a de Polignac number, because 200001112101 - 23 = 200001112093 is a prime.

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 (200001112109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 226758190 + ... + 226759071.

Almost surely, 2200001112101 is an apocalyptic number.

200001112101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200001112101 is a deficient number, since it is larger than the sum of its proper divisors (136055179041).

200001112101 is a wasteful number, since it uses less digits than its factorization.

200001112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453517281 (or 453517271 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 200001112101 its reverse (101211100002), we get a palindrome (301212212103).

The spelling of 200001112101 in words is "two hundred billion, one million, one hundred twelve thousand, one hundred one".

Divisors: 1 3 7 9 21 49 63 147 441 453517261 1360551783 3174620827 4081655349 9523862481 22222345789 28571587443 66667037367 200001112101