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2200012101 = 32735279901
BaseRepresentation
bin1000001100100001…
…1000010101000101
312200022201012020200
42003020120111011
514001200341401
61002145521113
7105342536310
oct20310302505
95608635220
102200012101
11a29938721
12514943199
13290a37011
1416c281977
15cd220686
hex83218545

2200012101 has 24 divisors (see below), whose sum is σ = 3633162624. Its totient is φ = 1256666400.

The previous prime is 2200012081. The next prime is 2200012117. The reversal of 2200012101 is 1012100022.

Adding to 2200012101 its reverse (1012100022), we get a palindrome (3212112123).

It is not a de Polignac number, because 2200012101 - 25 = 2200012069 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200012151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217251 + ... + 227151.

It is an arithmetic number, because the mean of its divisors is an integer number (151381776).

Almost surely, 22200012101 is an apocalyptic number.

2200012101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2200012101 is a deficient number, since it is larger than the sum of its proper divisors (1433150523).

2200012101 is a wasteful number, since it uses less digits than its factorization.

2200012101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13441 (or 13438 counting only the distinct ones).

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

The square root of 2200012101 is about 46904.2865951503. The cubic root of 2200012101 is about 1300.5938314617.

The spelling of 2200012101 in words is "two billion, two hundred million, twelve thousand, one hundred one".

Divisors: 1 3 7 9 21 63 3527 9901 10581 24689 29703 31743 69307 74067 89109 207921 222201 623763 34920827 104762481 244445789 314287443 733337367 2200012101