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100537141 is a prime number
BaseRepresentation
bin1011111111000…
…01001100110101
321000011211000211
411333201030311
5201214142031
613550505421
72330360125
oct577411465
9230154024
10100537141
1151829051
1229805271
1317aa1143
14d4d0c85
158c5dbb1
hex5fe1335

100537141 has 2 divisors, whose sum is σ = 100537142. Its totient is φ = 100537140.

The previous prime is 100537111. The next prime is 100537147. The reversal of 100537141 is 141735001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63266116 + 37271025 = 7954^2 + 6105^2 .

It is a cyclic number.

It is not a de Polignac number, because 100537141 - 213 = 100528949 is a prime.

It is a super-3 number, since 3×1005371413 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100537147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50268570 + 50268571.

It is an arithmetic number, because the mean of its divisors is an integer number (50268571).

Almost surely, 2100537141 is an apocalyptic number.

It is an amenable number.

100537141 is a deficient number, since it is larger than the sum of its proper divisors (1).

100537141 is an equidigital number, since it uses as much as digits as its factorization.

100537141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 100537141 is about 10026.8210814794. The cubic root of 100537141 is about 464.9884623491.

The spelling of 100537141 in words is "one hundred million, five hundred thirty-seven thousand, one hundred forty-one".