Search a number
-
+
121303635141 = 3132587940697
BaseRepresentation
bin111000011111001000…
…0101001010011000101
3102121002212012010201110
41300332100221103011
53441412212311031
6131420501515233
711523005612643
oct1607620512305
9377085163643
10121303635141
1147498815537
121b614412b19
13b5922c5b00
145c2a532193
15324e662c46
hex1c3e4294c5

121303635141 has 24 divisors (see below), whose sum is σ = 175170703680. Its totient is φ = 74633859456.

The previous prime is 121303635137. The next prime is 121303635143. The reversal of 121303635141 is 141536303121.

It is not a de Polignac number, because 121303635141 - 22 = 121303635137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 121303635099 and 121303635108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121303635143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2960305 + ... + 3001001.

It is an arithmetic number, because the mean of its divisors is an integer number (7298779320).

Almost surely, 2121303635141 is an apocalyptic number.

It is an amenable number.

121303635141 is a deficient number, since it is larger than the sum of its proper divisors (53867068539).

121303635141 is a wasteful number, since it uses less digits than its factorization.

121303635141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46605 (or 46592 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 121303635141 its reverse (141536303121), we get a palindrome (262839938262).

The spelling of 121303635141 in words is "one hundred twenty-one billion, three hundred three million, six hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 13 39 169 507 5879 17637 40697 76427 122091 229281 529061 993551 1587183 2980653 6877793 20633379 239257663 717772989 3110349619 9331048857 40434545047 121303635141