Search a number
-
+
131311130312323 = 13172219371593247
BaseRepresentation
bin11101110110110101000001…
…010001101111111010000011
3122012221012222110000012010201
4131312311001101233322003
5114202400143324443243
61143135300034510031
736441626135400253
oct3566650121577203
9565835873005121
10131311130312323
1138926812872845
1212888b87a35317
1358367815a1940
14245d6c7a59963
15102aa856ee04d
hex776d4146fe83

131311130312323 has 24 divisors (see below), whose sum is σ = 150226595533952. Its totient is φ = 114074986051584.

The previous prime is 131311130312321. The next prime is 131311130312339. The reversal of 131311130312323 is 323213031113131.

It is a happy number.

It is not a de Polignac number, because 131311130312323 - 21 = 131311130312321 is a prime.

It is a super-2 number, since 2×1313111303123232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131311130312291 and 131311130312300.

It is not an unprimeable number, because it can be changed into a prime (131311130312321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81620686 + ... + 83213932.

Almost surely, 2131311130312323 is an apocalyptic number.

131311130312323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131311130312323 is a deficient number, since it is larger than the sum of its proper divisors (18915465221629).

131311130312323 is a wasteful number, since it uses less digits than its factorization.

131311130312323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615231 (or 1615214 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 131311130312323 its reverse (323213031113131), we get a palindrome (454524161425454).

The spelling of 131311130312323 in words is "one hundred thirty-one trillion, three hundred eleven billion, one hundred thirty million, three hundred twelve thousand, three hundred twenty-three".

Divisors: 1 13 17 221 289 3757 21937 285181 372929 1593247 4848077 6339793 20712211 27085199 82417309 352107587 460448383 5985828979 34951059439 454363772707 594168010463 7724184136019 10100856177871 131311130312323