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100091101 = 11231013917
BaseRepresentation
bin1011111011101…
…00010011011101
320222100011011211
411331310103131
5201110403401
613533144421
72323521535
oct575642335
9228304154
10100091101
1151553a20
122962b111
1317976106
14d4164c5
158bc1951
hex5f744dd

100091101 has 16 divisors (see below), whose sum is σ = 115095168. Its totient is φ = 86152000.

The previous prime is 100091077. The next prime is 100091119. The reversal of 100091101 is 101190001.

It is not a de Polignac number, because 100091101 - 221 = 97993949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100091171) 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 15 ways as a sum of consecutive naturals, for example, 23595 + ... + 27511.

It is an arithmetic number, because the mean of its divisors is an integer number (7193448).

Almost surely, 2100091101 is an apocalyptic number.

100091101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100091101 is a deficient number, since it is larger than the sum of its proper divisors (15004067).

100091101 is a wasteful number, since it uses less digits than its factorization.

100091101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052.

The product of its (nonzero) digits is 9, while the sum is 13.

The square root of 100091101 is about 10004.5540130483. The cubic root of 100091101 is about 464.2997917084.

The spelling of 100091101 in words is "one hundred million, ninety-one thousand, one hundred one".

Divisors: 1 11 23 101 253 1111 2323 3917 25553 43087 90091 395617 991001 4351787 9099191 100091101