Search a number
-
+
13023300123331 = 178772549342691
BaseRepresentation
bin1011110110000011100100…
…1011010111101011000011
31201010000102011210102200021
42331200321023113223003
53201333204312421311
643410453235034311
72512621342363201
oct275407113275303
951100364712607
1013023300123331
114171172448273
121564004a3b997
13736126c89544
1433048c71a071
15178b74ecc171
hexbd8392d7ac3

13023300123331 has 16 divisors (see below), whose sum is σ = 13810556138400. Its totient is φ = 12238408465920.

The previous prime is 13023300123329. The next prime is 13023300123391. The reversal of 13023300123331 is 13332100332031.

It is a cyclic number.

It is not a de Polignac number, because 13023300123331 - 21 = 13023300123329 is a prime.

It is a super-3 number, since 3×130233001233313 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 13023300123296 and 13023300123305.

It is not an unprimeable number, because it can be changed into a prime (13023300123391) 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, 37831696 + ... + 38174386.

It is an arithmetic number, because the mean of its divisors is an integer number (863159758650).

Almost surely, 213023300123331 is an apocalyptic number.

13023300123331 is a deficient number, since it is larger than the sum of its proper divisors (787256015069).

13023300123331 is a wasteful number, since it uses less digits than its factorization.

13023300123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346134.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 13023300123331 its reverse (13332100332031), we get a palindrome (26355400455362).

The spelling of 13023300123331 in words is "thirteen trillion, twenty-three billion, three hundred million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 17 877 2549 14909 43333 342691 2235473 5825747 38003041 300540007 873519359 5109180119 14849829103 766076477843 13023300123331