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100013113 is a prime number
BaseRepresentation
bin1011111011000…
…01010000111001
320222012012012101
411331201100321
5201100404423
613531343401
72323045264
oct575412071
9228165171
10100013113
1151500372
12295b1b61
1317949775
14d3d5cdb
158ba87ad
hex5f61439

100013113 has 2 divisors, whose sum is σ = 100013114. Its totient is φ = 100013112.

The previous prime is 100013087. The next prime is 100013143. The reversal of 100013113 is 311310001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76510009 + 23503104 = 8747^2 + 4848^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100013113 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100013113.

It is not a weakly prime, because it can be changed into another prime (100013143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50006556 + 50006557.

It is an arithmetic number, because the mean of its divisors is an integer number (50006557).

Almost surely, 2100013113 is an apocalyptic number.

It is an amenable number.

100013113 is a deficient number, since it is larger than the sum of its proper divisors (1).

100013113 is an equidigital number, since it uses as much as digits as its factorization.

100013113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 100013113 is about 10000.6556285076. The cubic root of 100013113 is about 464.1791708593.

Adding to 100013113 its reverse (311310001), we get a palindrome (411323114).

It can be divided in two parts, 10001 and 3113, that multiplied together give a palindrome (31133113).

The spelling of 100013113 in words is "one hundred million, thirteen thousand, one hundred thirteen".