Search a number
-
+
13521225313233 = 32111046811304707
BaseRepresentation
bin1100010011000010011111…
…0101001110101111010001
31202212121122102212212112100
43010300213311032233101
53233012432140010413
644431322023551013
72563606365561531
oct304604765165721
952777572785470
1013521225313233
114343357212180
121624606bbb469
1377107a2c8c21
1434a60616d4c1
15186ab88c1a73
hexc4c27d4ebd1

13521225313233 has 24 divisors (see below), whose sum is σ = 21306393085536. Its totient is φ = 8194597444800.

The previous prime is 13521225313231. The next prime is 13521225313237. The reversal of 13521225313233 is 33231352212531.

13521225313233 is a `hidden beast` number, since 1 + 3 + 52 + 12 + 2 + 531 + 32 + 33 = 666.

It is not a de Polignac number, because 13521225313233 - 21 = 13521225313231 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13521225313231) 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 23 ways as a sum of consecutive naturals, for example, 9711066 + ... + 11015772.

It is an arithmetic number, because the mean of its divisors is an integer number (887766378564).

Almost surely, 213521225313233 is an apocalyptic number.

It is an amenable number.

13521225313233 is a deficient number, since it is larger than the sum of its proper divisors (7785167772303).

13521225313233 is a wasteful number, since it uses less digits than its factorization.

13521225313233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409405 (or 1409402 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

Adding to 13521225313233 its reverse (33231352212531), we get a palindrome (46752577525764).

The spelling of 13521225313233 in words is "thirteen trillion, five hundred twenty-one billion, two hundred twenty-five million, three hundred thirteen thousand, two hundred thirty-three".

Divisors: 1 3 9 11 33 99 104681 314043 942129 1151491 1304707 3454473 3914121 10363419 11742363 14351777 43055331 129165993 136578033467 409734100401 1229202301203 1502358368137 4507075104411 13521225313233