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100531349 is a prime number
BaseRepresentation
bin1011111110111…
…11110010010101
321000011112002022
411333133302111
5201214000344
613550422525
72330334212
oct577376225
9230145068
10100531349
1151824766
1229801a45
1317a9b609
14d4ccb09
158c5c0ee
hex5fdfc95

100531349 has 2 divisors, whose sum is σ = 100531350. Its totient is φ = 100531348.

The previous prime is 100531307. The next prime is 100531351. The reversal of 100531349 is 943135001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92294449 + 8236900 = 9607^2 + 2870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100531349 is a prime.

Together with 100531351, 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 (100531049) 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 as a sum of consecutive naturals, namely, 50265674 + 50265675.

It is an arithmetic number, because the mean of its divisors is an integer number (50265675).

Almost surely, 2100531349 is an apocalyptic number.

It is an amenable number.

100531349 is a deficient number, since it is larger than the sum of its proper divisors (1).

100531349 is an equidigital number, since it uses as much as digits as its factorization.

100531349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 100531349 is about 10026.5322519802. The cubic root of 100531349 is about 464.9795327639.

The spelling of 100531349 in words is "one hundred million, five hundred thirty-one thousand, three hundred forty-nine".