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12200100100201 = 13197283102116487
BaseRepresentation
bin1011000110001000111010…
…1000011111100001101001
31121012022120221201101221201
42301202032220133201221
53044341301111201301
641540352033404201
72366266565546566
oct261421650374151
947168527641851
1012200100100201
1139840404a5842
121450564a09661
136a6606689040
143026b90b986d
15162545069201
hexb188ea1f869

12200100100201 has 32 divisors (see below), whose sum is σ = 13265708214528. Its totient is φ = 11153261710080.

The previous prime is 12200100100171. The next prime is 12200100100231. The reversal of 12200100100201 is 10200100100221.

It is an interprime number because it is at equal distance from previous prime (12200100100171) and next prime (12200100100231).

It is a cyclic number.

It is not a de Polignac number, because 12200100100201 - 25 = 12200100100169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12200100100231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739974780 + ... + 739991266.

It is an arithmetic number, because the mean of its divisors is an integer number (414553381704).

Almost surely, 212200100100201 is an apocalyptic number.

It is an amenable number.

12200100100201 is a deficient number, since it is larger than the sum of its proper divisors (1065608114327).

12200100100201 is a wasteful number, since it uses less digits than its factorization.

12200100100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18001.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12200100100201 its reverse (10200100100221), we get a palindrome (22400200200422).

The spelling of 12200100100201 in words is "twelve trillion, two hundred billion, one hundred million, one hundred thousand, two hundred one".

Divisors: 1 13 197 283 1021 2561 3679 13273 16487 55751 201137 214331 288943 724763 2614781 3247939 3756259 4665821 16833227 42223207 56921771 60655673 218831951 739983023 919166737 3316145719 4763803241 11949167581 43109894347 61929442133 938469238477 12200100100201