Search a number
-
+
13021303322331 = 3214427110028429
BaseRepresentation
bin1011110101111100001000…
…1010001011011011011011
31201002211021000110102122200
42331133002022023123123
53201320112122303311
643405523144421243
72512521015014013
oct275370212133333
951084230412580
1013021303322331
114170338296107
121563748177823
13735b993922a5
1433033d454c43
15178aa9a4c556
hexbd7c228b6db

13021303322331 has 12 divisors (see below), whose sum is σ = 18808681488480. Its totient is φ = 8680807845360.

The previous prime is 13021303322323. The next prime is 13021303322407. The reversal of 13021303322331 is 13322330312031.

13021303322331 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 1 + 3 + 0 + 3 + 322 + 331 = 666.

It is not a de Polignac number, because 13021303322331 - 23 = 13021303322323 is a prime.

It is a super-2 number, since 2×130213033223312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13021303322295 and 13021303322304.

It is not an unprimeable number, because it can be changed into a prime (13021303322831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3715776 + ... + 6312653.

It is an arithmetic number, because the mean of its divisors is an integer number (1567390124040).

Almost surely, 213021303322331 is an apocalyptic number.

13021303322331 is a deficient number, since it is larger than the sum of its proper divisors (5787378166149).

13021303322331 is a wasteful number, since it uses less digits than its factorization.

13021303322331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172706 (or 10172703 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13021303322331 its reverse (13322330312031), we get a palindrome (26343633634362).

The spelling of 13021303322331 in words is "thirteen trillion, twenty-one billion, three hundred three million, three hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 144271 432813 1298439 10028429 30085287 90255861 1446811480259 4340434440777 13021303322331