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100055101 is a prime number
BaseRepresentation
bin1011111011010…
…11100000111101
320222021022210111
411331223200331
5201103230401
613532310021
72323311556
oct575534075
9228238714
10100055101
1151529973
1229612311
1317962903
14d40732d
158bb5e51
hex5f6b83d

100055101 has 2 divisors, whose sum is σ = 100055102. Its totient is φ = 100055100.

The previous prime is 100055099. The next prime is 100055147. The reversal of 100055101 is 101550001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96628900 + 3426201 = 9830^2 + 1851^2 .

It is a cyclic number.

It is not a de Polignac number, because 100055101 - 21 = 100055099 is a prime.

It is a super-2 number, since 2×1000551012 = 20022046472240402, which contains 22 as substring.

Together with 100055099, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100055201) 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 as a sum of consecutive naturals, namely, 50027550 + 50027551.

It is an arithmetic number, because the mean of its divisors is an integer number (50027551).

Almost surely, 2100055101 is an apocalyptic number.

It is an amenable number.

100055101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100055101 is an equidigital number, since it uses as much as digits as its factorization.

100055101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 100055101 is about 10002.7546705895. The cubic root of 100055101 is about 464.2441197699.

The spelling of 100055101 in words is "one hundred million, fifty-five thousand, one hundred one".