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103595912029 is a prime number
BaseRepresentation
bin110000001111011001…
…1000010101101011101
3100220101202222121012201
41200132303002231131
53144131023141104
6115331415531501
710325126503021
oct1403663025535
9326352877181
10103595912029
113aa31212025
12180b2089b91
1399cc7bac3c
14502a868381
152a64c900a4
hex181ecc2b5d

103595912029 has 2 divisors, whose sum is σ = 103595912030. Its totient is φ = 103595912028.

The previous prime is 103595911927. The next prime is 103595912033. The reversal of 103595912029 is 920219595301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54511509529 + 49084402500 = 233477^2 + 221550^2 .

It is a cyclic number.

It is not a de Polignac number, because 103595912029 - 211 = 103595909981 is a prime.

It is a super-3 number, since 3×1035959120293 (a number of 34 digits) contains 333 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 103595912029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103595912429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51797956014 + 51797956015.

It is an arithmetic number, because the mean of its divisors is an integer number (51797956015).

Almost surely, 2103595912029 is an apocalyptic number.

It is an amenable number.

103595912029 is a deficient number, since it is larger than the sum of its proper divisors (1).

103595912029 is an equidigital number, since it uses as much as digits as its factorization.

103595912029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 218700, while the sum is 46.

The spelling of 103595912029 in words is "one hundred three billion, five hundred ninety-five million, nine hundred twelve thousand, twenty-nine".