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100112201 = 71734171
BaseRepresentation
bin1011111011110…
…01011101001001
320222101020010022
411331321131021
5201112042301
613533430225
72323640210
oct575713511
9228336108
10100112201
1151568862
122963b375
13179828b7
14d420077
158bc7d1b
hex5f79749

100112201 has 32 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 77683200.

The previous prime is 100112179. The next prime is 100112219. The reversal of 100112201 is 102211001.

It is not a de Polignac number, because 100112201 - 214 = 100095817 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112231) 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 31 ways as a sum of consecutive naturals, for example, 1409996 + ... + 1410066.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2100112201 is an apocalyptic number.

It is an amenable number.

100112201 is a deficient number, since it is larger than the sum of its proper divisors (26170039).

100112201 is an frugal number, since it uses more digits than its factorization.

100112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100112201 is about 10005.6084772491. The cubic root of 100112201 is about 464.3324154454.

Adding to 100112201 its reverse (102211001), we get a palindrome (202323202).

The spelling of 100112201 in words is "one hundred million, one hundred twelve thousand, two hundred one".

Divisors: 1 7 17 41 71 119 287 289 497 697 1207 2023 2911 4879 4913 8449 11849 20377 20519 34391 49487 82943 143633 201433 346409 348823 841279 1410031 2441761 5888953 14301743 100112201