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100228993 is a prime number
BaseRepresentation
bin1011111100101…
…01111110000001
320222121011022221
411332111332001
5201124311433
613540131041
72324634544
oct576257601
9228534287
10100228993
1151638587
1229696a81
13179c3ac7
14d45085b
158bec72d
hex5f95f81

100228993 has 2 divisors, whose sum is σ = 100228994. Its totient is φ = 100228992.

The previous prime is 100228987. The next prime is 100229011. The reversal of 100228993 is 399822001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96668224 + 3560769 = 9832^2 + 1887^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100228993 is a prime.

It is not a weakly prime, because it can be changed into another prime (100228903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50114496 + 50114497.

It is an arithmetic number, because the mean of its divisors is an integer number (50114497).

Almost surely, 2100228993 is an apocalyptic number.

It is an amenable number.

100228993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100228993 is an equidigital number, since it uses as much as digits as its factorization.

100228993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 100228993 is about 10011.4431027699. The cubic root of 100228993 is about 464.5129103835.

The spelling of 100228993 in words is "one hundred million, two hundred twenty-eight thousand, nine hundred ninety-three".