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20010103117 is a prime number
BaseRepresentation
bin10010101000101100…
…011111000101001101
31220122112112120010021
4102220230133011031
5311440041244432
613105325542141
71305604033024
oct225054370515
956575476107
1020010103117
1185391aa704
123a65414951
131b6b804404
14d7b7958bb
157c1ab4697
hex4a8b1f14d

20010103117 has 2 divisors, whose sum is σ = 20010103118. Its totient is φ = 20010103116.

The previous prime is 20010103081. The next prime is 20010103129. The reversal of 20010103117 is 71130101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17961092361 + 2049010756 = 134019^2 + 45266^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20010103117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 20010103117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20010113117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10005051558 + 10005051559.

It is an arithmetic number, because the mean of its divisors is an integer number (10005051559).

Almost surely, 220010103117 is an apocalyptic number.

It is an amenable number.

20010103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

20010103117 is an equidigital number, since it uses as much as digits as its factorization.

20010103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 16.

Adding to 20010103117 its reverse (71130101002), we get a palindrome (91140204119).

The spelling of 20010103117 in words is "twenty billion, ten million, one hundred three thousand, one hundred seventeen".