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100540441 is a prime number
BaseRepresentation
bin1011111111000…
…10000000011001
321000011222120001
411333202000121
5201214243231
613550533001
72330402551
oct577420031
9230158501
10100540441
1151830581
1229807161
1317aa27b1
14d4d2161
158c5eb61
hex5fe2019

100540441 has 2 divisors, whose sum is σ = 100540442. Its totient is φ = 100540440.

The previous prime is 100540423. The next prime is 100540459. The reversal of 100540441 is 144045001.

It is a balanced prime because it is at equal distance from previous prime (100540423) and next prime (100540459).

It can be written as a sum of positive squares in only one way, i.e., 94012416 + 6528025 = 9696^2 + 2555^2 .

It is a cyclic number.

It is not a de Polignac number, because 100540441 - 223 = 92151833 is a prime.

It is not a weakly prime, because it can be changed into another prime (100540411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50270220 + 50270221.

It is an arithmetic number, because the mean of its divisors is an integer number (50270221).

Almost surely, 2100540441 is an apocalyptic number.

It is an amenable number.

100540441 is a deficient number, since it is larger than the sum of its proper divisors (1).

100540441 is an equidigital number, since it uses as much as digits as its factorization.

100540441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 100540441 is about 10026.9856387650. The cubic root of 100540441 is about 464.9935498392.

Adding to 100540441 its reverse (144045001), we get a palindrome (244585442).

The spelling of 100540441 in words is "one hundred million, five hundred forty thousand, four hundred forty-one".