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200201010000201 = 32728111308874767
BaseRepresentation
bin101101100001010011101110…
…000101011011000101001001
3222020212000210121102001212200
4231201103232011123011021
5202220043132030001301
61545443024015230413
760112021442162520
oct5541235605330511
9866760717361780
10200201010000201
1158876853a08661
121a554369218409
138792b49909bc2
143761acdcd74b7
151822a4b01cc86
hexb614ee15b149

200201010000201 has 24 divisors (see below), whose sum is σ = 331666679195904. Its totient is φ = 113993457641280.

The previous prime is 200201010000193. The next prime is 200201010000227. The reversal of 200201010000201 is 102000010102002.

It is not a de Polignac number, because 200201010000201 - 23 = 200201010000193 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (200201010000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5654419681 + ... + 5654455086.

It is an arithmetic number, because the mean of its divisors is an integer number (13819444966496).

Almost surely, 2200201010000201 is an apocalyptic number.

200201010000201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

200201010000201 is a deficient number, since it is larger than the sum of its proper divisors (131465669195703).

200201010000201 is a wasteful number, since it uses less digits than its factorization.

200201010000201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11308875061 (or 11308875058 counting only the distinct ones).

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

Adding to 200201010000201 its reverse (102000010102002), we get a palindrome (302201020102203).

The spelling of 200201010000201 in words is "two hundred trillion, two hundred one billion, ten million, two hundred one", and thus it is an aban number.

Divisors: 1 3 7 9 21 63 281 843 1967 2529 5901 17703 11308874767 33926624301 79162123369 101779872903 237486370107 712459110321 3177793809527 9533381428581 22244556666689 28600144285743 66733670000067 200201010000201