Search a number
-
+
13226544213103 = 138919957446021
BaseRepresentation
bin1100000001111000101101…
…1110000010110001101111
31201211110000121101221201201
43000132023132002301233
53213200430304304403
644044105053150331
72533405044550654
oct300361336026157
951743017357651
1013226544213103
11423a3894360a1
121597486a8b3a7
1374c347413460
1433a24d5c1c2b
1517e0bd15d21d
hexc078b782c6f

13226544213103 has 16 divisors (see below), whose sum is σ = 14476397544000. Its totient is φ = 12011273429760.

The previous prime is 13226544213097. The next prime is 13226544213109. The reversal of 13226544213103 is 30131244562231.

13226544213103 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13226544213097) and next prime (13226544213109).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13226544213103 is a prime.

It is a super-3 number, since 3×132265442131033 (a number of 40 digits) contains 333 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 (13226544213109) 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, 28492768 + ... + 28953253.

It is an arithmetic number, because the mean of its divisors is an integer number (904774846500).

Almost surely, 213226544213103 is an apocalyptic number.

13226544213103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13226544213103 is a deficient number, since it is larger than the sum of its proper divisors (1249853330897).

13226544213103 is a wasteful number, since it uses less digits than its factorization.

13226544213103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57446322.

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 13226544213103 its reverse (30131244562231), we get a palindrome (43357788775334).

The spelling of 13226544213103 in words is "thirteen trillion, two hundred twenty-six billion, five hundred forty-four million, two hundred thirteen thousand, one hundred three".

Divisors: 1 13 89 199 1157 2587 17711 230243 57446021 746798273 5112695869 11431758179 66465046297 148612856327 1017426477931 13226544213103