Search a number
-
+
13330320121031 = 231633555700219
BaseRepresentation
bin1100000111111011010011…
…1111101101110011000111
31202012100212221002021220012
43001332310333231303013
53221400443422333111
644203510423100435
72544040521324254
oct301766477556307
952170787067805
1013330320121031
11427a3a2207761
1215b36092a171b
137590752a3434
14341295d0242b
15181b43b0548b
hexc1fb4fedcc7

13330320121031 has 8 divisors (see below), whose sum is σ = 13995236065920. Its totient is φ = 12672515576952.

The previous prime is 13330320120983. The next prime is 13330320121039. The reversal of 13330320121031 is 13012102303331.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13330320121031 is a prime.

It is a super-3 number, since 3×133303201210313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13330320120988 and 13330320121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330320121039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1777846361 + ... + 1777853858.

It is an arithmetic number, because the mean of its divisors is an integer number (1749404508240).

Almost surely, 213330320121031 is an apocalyptic number.

13330320121031 is a deficient number, since it is larger than the sum of its proper divisors (664915944889).

13330320121031 is a wasteful number, since it uses less digits than its factorization.

13330320121031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3555700405.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13330320121031 its reverse (13012102303331), we get a palindrome (26342422424362).

The spelling of 13330320121031 in words is "thirteen trillion, three hundred thirty billion, three hundred twenty million, one hundred twenty-one thousand, thirty-one".

Divisors: 1 23 163 3749 3555700219 81781105037 579579135697 13330320121031