Search a number
-
+
13323121320301 = 137314039116249
BaseRepresentation
bin1100000111100000011111…
…1010011110000101101101
31202011200022020021022202221
43001320013322132011231
53221241223024222201
644200320223515341
72543364236454112
oct301700772360555
952150266238687
1013323121320301
11427733871a171
1215b213a458b51
13758498a43030
14340bb1bd6909
15181871b1c4a1
hexc1e07e9e16d

13323121320301 has 8 divisors (see below), whose sum is σ = 14544524435000. Its totient is φ = 12129796438272.

The previous prime is 13323121320251. The next prime is 13323121320347. The reversal of 13323121320301 is 10302312132331.

It can be written as a sum of positive squares in 4 ways, for example, as 1660206480100 + 11662914840201 = 1288490^2 + 3415101^2 .

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 13323121320301 - 215 = 13323121287533 is a prime.

It is a super-2 number, since 2×133231213203012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323101320301) 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, 7019557176 + ... + 7019559073.

It is an arithmetic number, because the mean of its divisors is an integer number (1818065554375).

Almost surely, 213323121320301 is an apocalyptic number.

It is an amenable number.

13323121320301 is a deficient number, since it is larger than the sum of its proper divisors (1221403114699).

13323121320301 is a wasteful number, since it uses less digits than its factorization.

13323121320301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14039116335.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 13323121320301 its reverse (10302312132331), we get a palindrome (23625433452632).

The spelling of 13323121320301 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty thousand, three hundred one".

Divisors: 1 13 73 949 14039116249 182508511237 1024855486177 13323121320301