Search a number
-
+
23233211333131 = 317335928597643
BaseRepresentation
bin1010100100001011001110…
…10011101111101000001011
310001021001222102222222212111
411102011213103233220023
511021123104100130011
6121225105005523151
74615354430633062
oct522054723575013
9101231872888774
1023233211333131
117448171122068
1227329035734b7
13cc6b61903cc7
145a46c9d791d9
152a4538564121
hex1521674efa0b

23233211333131 has 16 divisors (see below), whose sum is σ = 24378919557120. Its totient is φ = 22113984605760.

The previous prime is 23233211333041. The next prime is 23233211333141. The reversal of 23233211333131 is 13133311233232.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23233211333131 is a prime.

It is a super-2 number, since 2×232332113331312 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23233211333093 and 23233211333102.

It is not an unprimeable number, because it can be changed into a prime (23233211333141) 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 15 ways as a sum of consecutive naturals, for example, 13486405 + ... + 15111238.

It is an arithmetic number, because the mean of its divisors is an integer number (1523682472320).

Almost surely, 223233211333131 is an apocalyptic number.

23233211333131 is a deficient number, since it is larger than the sum of its proper divisors (1145708223989).

23233211333131 is a wasteful number, since it uses less digits than its factorization.

23233211333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28598106.

The product of its digits is 17496, while the sum is 31.

Adding to 23233211333131 its reverse (13133311233232), we get a palindrome (36366522566363).

The spelling of 23233211333131 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred eleven million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 31 73 359 2263 11129 26207 812417 28597643 886526933 2087627939 10266553837 64716466109 318263168947 749458430101 23233211333131