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123102242021 = 1125777732281
BaseRepresentation
bin111001010100101110…
…1110010010011100101
3102202202012120211112002
41302221131302103211
54004103133221041
6132315152135045
711615405535533
oct1625135622345
9382665524462
10123102242021
1148231008500
121ba36837485
13b7bab18a35
145d5b365153
1533074e359b
hex1ca97724e5

123102242021 has 24 divisors (see below), whose sum is σ = 135780086232. Its totient is φ = 111523737600.

The previous prime is 123102242009. The next prime is 123102242027. The reversal of 123102242021 is 120242201321.

It can be written as a sum of positive squares in 4 ways, for example, as 31422880225 + 91679361796 = 177265^2 + 302786^2 .

It is not a de Polignac number, because 123102242021 - 210 = 123102240997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123102241984 and 123102242002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123102242027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53967401 + ... + 53969681.

It is an arithmetic number, because the mean of its divisors is an integer number (5657503593).

Almost surely, 2123102242021 is an apocalyptic number.

123102242021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

123102242021 is a deficient number, since it is larger than the sum of its proper divisors (12677844211).

123102242021 is a wasteful number, since it uses less digits than its factorization.

123102242021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123102242021 its reverse (120242201321), we get a palindrome (243344443342).

The spelling of 123102242021 in words is "one hundred twenty-three billion, one hundred two million, two hundred forty-two thousand, twenty-one".

Divisors: 1 11 121 577 773 2281 6347 8503 25091 69817 93533 276001 446021 1316137 1763213 4906231 14477507 19395343 53968541 159252577 213348773 1017373901 11191112911 123102242021