Search a number
-
+
13321210102031 = 131886935430559
BaseRepresentation
bin1100000111011001010111…
…1111110000000100001111
31202011111101000222101012002
43001312111333300010033
53221223314241231111
644155402431502515
72543266001412146
oct301662577600417
952144330871162
1013321210102031
114276547901637
1215b18a6387a3b
13758252ab2250
14340a7004c75d
151817ade4563b
hexc1d95ff010f

13321210102031 has 8 divisors (see below), whose sum is σ = 14345997240960. Its totient is φ = 12296434201632.

The previous prime is 13321210102009. The next prime is 13321210102033. The reversal of 13321210102031 is 13020101212331.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 13321210102031 - 26 = 13321210101967 is a prime.

It is a super-2 number, since 2×133212101020312 (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 = 13321210101994 and 13321210102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321210102033) 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 7 ways as a sum of consecutive naturals, for example, 262271 + ... + 5168288.

It is an arithmetic number, because the mean of its divisors is an integer number (1793249655120).

Almost surely, 213321210102031 is an apocalyptic number.

13321210102031 is a deficient number, since it is larger than the sum of its proper divisors (1024787138929).

13321210102031 is a wasteful number, since it uses less digits than its factorization.

13321210102031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5619265.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13321210102031 its reverse (13020101212331), we get a palindrome (26341311314362).

The spelling of 13321210102031 in words is "thirteen trillion, three hundred twenty-one billion, two hundred ten million, one hundred two thousand, thirty-one".

Divisors: 1 13 188693 2453009 5430559 70597267 1024708469387 13321210102031