Search a number
-
+
123130013330331 = 3272777055756881
BaseRepresentation
bin11011111111110001110000…
…101101001010101110011011
3121010222010002100001210210100
4123333301300231022232123
5112114330231403032311
61113513051445150443
734635564341415450
oct3377616055125633
9533863070053710
10123130013330331
1136262166594317
12119875083bb423
13539215881aa67
14225974b101827
15e37d62e92a56
hex6ffc70b4ab9b

123130013330331 has 24 divisors (see below), whose sum is σ = 203996042972384. Its totient is φ = 70106000359680.

The previous prime is 123130013330321. The next prime is 123130013330431. The reversal of 123130013330331 is 133033310031321.

123130013330331 is a `hidden beast` number, since 1 + 2 + 313 + 0 + 0 + 13 + 3 + 3 + 0 + 331 = 666.

It is not a de Polignac number, because 123130013330331 - 29 = 123130013329819 is a prime.

It is a super-2 number, since 2×1231300133303312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123130013330295 and 123130013330304.

It is not an unprimeable number, because it can be changed into a prime (123130013330321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3527860990 + ... + 3527895891.

Almost surely, 2123130013330331 is an apocalyptic number.

123130013330331 is a deficient number, since it is larger than the sum of its proper divisors (80866029642053).

123130013330331 is a wasteful number, since it uses less digits than its factorization.

123130013330331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055757171 (or 7055757168 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 123130013330331 its reverse (133033310031321), we get a palindrome (256163323361652).

The spelling of 123130013330331 in words is "one hundred twenty-three trillion, one hundred thirty billion, thirteen million, three hundred thirty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 277 831 1939 2493 5817 17451 7055756881 21167270643 49390298167 63501811929 148170894501 444512683503 1954444656037 5863333968111 13681112592259 17590001904333 41043337776777 123130013330331