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100307813 is a prime number
BaseRepresentation
bin1011111101010…
…01001101100101
320222202011110012
411332221031211
5201134322223
613541540005
72325413414
oct576511545
9228664405
10100307813
1151691821
1229714605
1317a20948
14d47147b
158c15c78
hex5fa9365

100307813 has 2 divisors, whose sum is σ = 100307814. Its totient is φ = 100307812.

The previous prime is 100307791. The next prime is 100307819. The reversal of 100307813 is 318703001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99640324 + 667489 = 9982^2 + 817^2 .

It is an emirp because it is prime and its reverse (318703001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100307813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100307819) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50153906 + 50153907.

It is an arithmetic number, because the mean of its divisors is an integer number (50153907).

Almost surely, 2100307813 is an apocalyptic number.

It is an amenable number.

100307813 is a deficient number, since it is larger than the sum of its proper divisors (1).

100307813 is an equidigital number, since it uses as much as digits as its factorization.

100307813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 100307813 is about 10015.3788245877. The cubic root of 100307813 is about 464.6346426729.

The spelling of 100307813 in words is "one hundred million, three hundred seven thousand, eight hundred thirteen".