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1000002201 = 311211324379
BaseRepresentation
bin111011100110101…
…101001010011001
32120200200101010120
4323212231022121
54022000032301
6243121303453
733531610212
oct7346551231
92520611116
101000002201
11473525500
1223aa94b89
1312c23b1a3
1496b4c409
155cbd1e36
hex3b9ad299

1000002201 has 24 divisors (see below), whose sum is σ = 1478598240. Its totient is φ = 600673920.

The previous prime is 1000002193. The next prime is 1000002233. The reversal of 1000002201 is 1022000001.

It is a happy number.

It is not a de Polignac number, because 1000002201 - 23 = 1000002193 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1000002201.

It is not an unprimeable number, because it can be changed into a prime (1000702201) 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 23 ways as a sum of consecutive naturals, for example, 28830 + ... + 53208.

It is an arithmetic number, because the mean of its divisors is an integer number (61608260).

Almost surely, 21000002201 is an apocalyptic number.

1000002201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1000002201 is a deficient number, since it is larger than the sum of its proper divisors (478596039).

1000002201 is a wasteful number, since it uses less digits than its factorization.

1000002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24517 (or 24506 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1000002201 is about 31622.8114025303. The cubic root of 1000002201 is about 1000.0007336661. Note that the first 3 decimals are identical.

Adding to 1000002201 its reverse (1022000001), we get a palindrome (2022002202).

It can be divided in two parts, 100000 and 2201, that added together give a palindrome (102201).

The spelling of 1000002201 in words is "one billion, two thousand, two hundred one".

Divisors: 1 3 11 33 113 121 339 363 1243 3729 13673 24379 41019 73137 268169 804507 2754827 2949859 8264481 8849577 30303097 90909291 333334067 1000002201