Search a number
-
+
10330121131131 = 319307590326369
BaseRepresentation
bin1001011001010010101100…
…1100110101010001111011
31100120112211220101021121210
42112110223030311101323
52323222042002144011
633545331522334203
72114220013560534
oct226245314652173
940515756337553
1010330121131131
113322a86088a1a
1211aa0687ba363
1359c184480c39
14279da280b68b
1512da9bba66a6
hex9652b33547b

10330121131131 has 16 divisors (see below), whose sum is σ = 14545641756800. Its totient is φ = 6503035269888.

The previous prime is 10330121131103. The next prime is 10330121131139. The reversal of 10330121131131 is 13113112103301.

It is not a de Polignac number, because 10330121131131 - 213 = 10330121122939 is a prime.

It is a super-2 number, since 2×103301211311312 (a number of 27 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 = 10330121131098 and 10330121131107.

It is not an unprimeable number, because it can be changed into a prime (10330121131139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295145686 + ... + 295180683.

It is an arithmetic number, because the mean of its divisors is an integer number (909102609800).

Almost surely, 210330121131131 is an apocalyptic number.

10330121131131 is a deficient number, since it is larger than the sum of its proper divisors (4215520625669).

10330121131131 is a wasteful number, since it uses less digits than its factorization.

10330121131131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590326698.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 10330121131131 its reverse (13113112103301), we get a palindrome (23443233234432).

The spelling of 10330121131131 in words is "ten trillion, three hundred thirty billion, one hundred twenty-one million, one hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 3 19 57 307 921 5833 17499 590326369 1770979107 11216201011 33648603033 181230195283 543690585849 3443373710377 10330121131131