Search a number
-
+
13332322011301 = 292207379354919
BaseRepresentation
bin1100001000000010110001…
…0100010100100010100101
31202012120001102222212002021
43002000230110110202211
53221414043413330201
644204441214343141
72544141240161116
oct302005424244245
952176042885067
1013332322011301
11428022a225527
1215b3a877baab1
13759303c5cca7
14341405b3020d
15181c0e73cea1
hexc202c5148a5

13332322011301 has 16 divisors (see below), whose sum is σ = 13802195635200. Its totient is φ = 12863127691008.

The previous prime is 13332322011287. The next prime is 13332322011311. The reversal of 13332322011301 is 10311022323331.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13332322011301 is a prime.

It is a super-4 number, since 4×133323220113014 (a number of 54 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332322011311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242735920 + ... + 242790838.

It is an arithmetic number, because the mean of its divisors is an integer number (862637227200).

Almost surely, 213332322011301 is an apocalyptic number.

It is an amenable number.

13332322011301 is a deficient number, since it is larger than the sum of its proper divisors (469873623899).

13332322011301 is a wasteful number, since it uses less digits than its factorization.

13332322011301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60948.

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

Adding to 13332322011301 its reverse (10311022323331), we get a palindrome (23643344334632).

The spelling of 13332322011301 in words is "thirteen trillion, three hundred thirty-two billion, three hundred twenty-two million, eleven thousand, three hundred one".

Divisors: 1 29 2207 3793 54919 64003 109997 1592651 8371151 121206233 208307767 242763379 3514980757 6040925243 459735241769 13332322011301