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100211120191 = 71310310691467
BaseRepresentation
bin101110101010100001…
…1000101100000111111
3100120122212220100201001
41131111003011200333
53120213021321231
6114011504031131
710145216316160
oct1352503054077
9316585810631
10100211120191
11395546238a6
12175086024a7
1395b048b430
144bc90d9767
152917a3db61
hex17550c583f

100211120191 has 16 divisors (see below), whose sum is σ = 124534219264. Its totient is φ = 78518126304.

The previous prime is 100211120179. The next prime is 100211120197. The reversal of 100211120191 is 191021112001.

It is a cyclic number.

It is not a de Polignac number, because 100211120191 - 231 = 98063636543 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211120197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5336361 + ... + 5355106.

It is an arithmetic number, because the mean of its divisors is an integer number (7783388704).

Almost surely, 2100211120191 is an apocalyptic number.

100211120191 is a deficient number, since it is larger than the sum of its proper divisors (24323099073).

100211120191 is a wasteful number, since it uses less digits than its factorization.

100211120191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691590.

The product of its (nonzero) digits is 36, while the sum is 19.

Adding to 100211120191 its reverse (191021112001), we get a palindrome (291232232192).

The spelling of 100211120191 in words is "one hundred billion, two hundred eleven million, one hundred twenty thousand, one hundred ninety-one".

Divisors: 1 7 13 91 103 721 1339 9373 10691467 74840269 138989071 972923497 1101221101 7708547707 14315874313 100211120191