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100814149 is a prime number
BaseRepresentation
bin1100000001001…
…00110101000101
321000200220000101
412000210311011
5201302023044
614000444101
72332622542
oct600446505
9230626011
10100814149
11519a8187
1229919631
1317b6a257
14d563bc9
158cb5cd4
hex6024d45

100814149 has 2 divisors, whose sum is σ = 100814150. Its totient is φ = 100814148.

The previous prime is 100814143. The next prime is 100814167. The reversal of 100814149 is 941418001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99800100 + 1014049 = 9990^2 + 1007^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100814149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100814143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50407074 + 50407075.

It is an arithmetic number, because the mean of its divisors is an integer number (50407075).

Almost surely, 2100814149 is an apocalyptic number.

It is an amenable number.

100814149 is a deficient number, since it is larger than the sum of its proper divisors (1).

100814149 is an equidigital number, since it uses as much as digits as its factorization.

100814149 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 100814149 is about 10040.6249307501. The cubic root of 100814149 is about 465.4151285709.

The spelling of 100814149 in words is "one hundred million, eight hundred fourteen thousand, one hundred forty-nine".