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100141337 is a prime number
BaseRepresentation
bin1011111100000…
…00100100011001
320222102201002102
411332000210121
5201114010322
613534213145
72324121152
oct576004431
9228381072
10100141337
115158873a
12296541b5
1317992c3a
14d42a929
158bd1792
hex5f80919

100141337 has 2 divisors, whose sum is σ = 100141338. Its totient is φ = 100141336.

The previous prime is 100141313. The next prime is 100141357. The reversal of 100141337 is 733141001.

It is a happy number.

It is an a-pointer prime, because the next prime (100141357) can be obtained adding 100141337 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94109401 + 6031936 = 9701^2 + 2456^2 .

It is a cyclic number.

It is not a de Polignac number, because 100141337 - 26 = 100141273 is a prime.

It is a super-2 number, since 2×1001413372 = 20056574752295138, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100141357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50070668 + 50070669.

It is an arithmetic number, because the mean of its divisors is an integer number (50070669).

Almost surely, 2100141337 is an apocalyptic number.

It is an amenable number.

100141337 is a deficient number, since it is larger than the sum of its proper divisors (1).

100141337 is an equidigital number, since it uses as much as digits as its factorization.

100141337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 100141337 is about 10007.0643547446. The cubic root of 100141337 is about 464.3774564990.

Adding to 100141337 its reverse (733141001), we get a palindrome (833282338).

The spelling of 100141337 in words is "one hundred million, one hundred forty-one thousand, three hundred thirty-seven".