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105130212259 is a prime number
BaseRepresentation
bin110000111101000111…
…1111011101110100011
3101001100201001010110011
41201322033323232203
53210301313243014
6120143545145351
710411140026362
oct1417217735643
9331321033404
10105130212259
114064929a546
121845ba8b257
139bb562c5b7
1451345397d9
152b048127c4
hex187a3fbba3

105130212259 has 2 divisors, whose sum is σ = 105130212260. Its totient is φ = 105130212258.

The previous prime is 105130212247. The next prime is 105130212263. The reversal of 105130212259 is 952212031501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105130212259 - 227 = 104995994531 is a prime.

It is a super-4 number, since 4×1051302122594 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105130212259.

It is not a weakly prime, because it can be changed into another prime (105130212289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52565106129 + 52565106130.

It is an arithmetic number, because the mean of its divisors is an integer number (52565106130).

Almost surely, 2105130212259 is an apocalyptic number.

105130212259 is a deficient number, since it is larger than the sum of its proper divisors (1).

105130212259 is an equidigital number, since it uses as much as digits as its factorization.

105130212259 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105130212259 in words is "one hundred five billion, one hundred thirty million, two hundred twelve thousand, two hundred fifty-nine".