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12103100141 = 112100025621
BaseRepresentation
bin10110100010110011…
…01010011011101101
31011020111010012011012
423101121222123231
5144241343201031
65320551235005
7605632440146
oct132131523355
934214105135
1012103100141
115150980300
122419378a65
1311ab622422
1482b5b8acd
154ac838b2b
hex2d166a6ed

12103100141 has 6 divisors (see below), whose sum is σ = 13303407726. Its totient is φ = 11002818200.

The previous prime is 12103100123. The next prime is 12103100159. The reversal of 12103100141 is 14100130121.

It is an interprime number because it is at equal distance from previous prime (12103100123) and next prime (12103100159).

It can be written as a sum of positive squares in only one way, i.e., 9614586916 + 2488513225 = 98054^2 + 49885^2 .

It is not a de Polignac number, because 12103100141 - 214 = 12103083757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12103100161) 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 in 5 ways as a sum of consecutive naturals, for example, 50012690 + ... + 50012931.

It is an arithmetic number, because the mean of its divisors is an integer number (2217234621).

Almost surely, 212103100141 is an apocalyptic number.

12103100141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12103100141 is a deficient number, since it is larger than the sum of its proper divisors (1200307585).

12103100141 is a wasteful number, since it uses less digits than its factorization.

12103100141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100025643 (or 100025632 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12103100141 its reverse (14100130121), we get a palindrome (26203230262).

The spelling of 12103100141 in words is "twelve billion, one hundred three million, one hundred thousand, one hundred forty-one".

Divisors: 1 11 121 100025621 1100281831 12103100141