Search a number
-
+
13123223130231 = 329594711519729
BaseRepresentation
bin1011111011110111110100…
…0011011001000001110111
31201110120022222120010020200
42332331331003121001313
53210002330110131411
643524420411531543
72523056463051054
oct276757503310167
951416288503220
1013123223130231
1141aa589376305
12157b450a59bb3
1374268c84c426
1433524b45802b
1517b5725a8e56
hexbef7d0d9077

13123223130231 has 12 divisors (see below), whose sum is σ = 18955798973280. Its totient is φ = 8748800544960.

The previous prime is 13123223130203. The next prime is 13123223130287. The reversal of 13123223130231 is 13203132232131.

13123223130231 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 322 + 3 + 1 + 302 + 31 = 666.

It is not a de Polignac number, because 13123223130231 - 210 = 13123223129207 is a prime.

It is a super-3 number, since 3×131232231302313 (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 = 13123223130195 and 13123223130204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123223130331) 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, 7875375 + ... + 9395103.

It is an arithmetic number, because the mean of its divisors is an integer number (1579649914440).

Almost surely, 213123223130231 is an apocalyptic number.

13123223130231 is a deficient number, since it is larger than the sum of its proper divisors (5832575843049).

13123223130231 is a wasteful number, since it uses less digits than its factorization.

13123223130231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479206 (or 2479203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13123223130231 its reverse (13203132232131), we get a palindrome (26326355362362).

The spelling of 13123223130231 in words is "thirteen trillion, one hundred twenty-three billion, two hundred twenty-three million, one hundred thirty thousand, two hundred thirty-one".

Divisors: 1 3 9 959471 1519729 2878413 4559187 8635239 13677561 1458135903359 4374407710077 13123223130231