Search a number
-
+
11531351204137 = 539719931336011
BaseRepresentation
bin1010011111001101101000…
…0101111010000100101001
31111211101102200200120112201
42213303122011322010221
53002412201402013022
640305232443540201
72300053426663342
oct247633205720451
944741380616481
1011531351204137
113746467151076
121362a2a22a661
1365852b85c39b
142bc1984530c9
1514ee5486d127
hexa7cda17a129

11531351204137 has 32 divisors (see below), whose sum is σ = 11968141651200. Its totient is φ = 11104972369920.

The previous prime is 11531351204123. The next prime is 11531351204171. The reversal of 11531351204137 is 73140215313511.

11531351204137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11531351204137 - 227 = 11531216986409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11531351204096 and 11531351204105.

It is not an unprimeable number, because it can be changed into a prime (11531351244137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320199462 + ... + 320235472.

It is an arithmetic number, because the mean of its divisors is an integer number (374004426600).

Almost surely, 211531351204137 is an apocalyptic number.

It is an amenable number.

11531351204137 is a deficient number, since it is larger than the sum of its proper divisors (436790447063).

11531351204137 is a wasteful number, since it uses less digits than its factorization.

11531351204137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36673.

The product of its (nonzero) digits is 37800, while the sum is 37.

Adding to 11531351204137 its reverse (73140215313511), we get a palindrome (84671566517648).

The spelling of 11531351204137 in words is "eleven trillion, five hundred thirty-one billion, three hundred fifty-one million, two hundred four thousand, one hundred thirty-seven".

Divisors: 1 53 97 199 313 5141 10547 16589 19303 30361 36011 62287 1023059 1609133 1908583 3301211 3493067 6041839 7166189 11271443 185132551 320217467 379808017 597386479 695120333 1093329971 2243017157 36841377649 57946488463 118879909321 217572664229 11531351204137