Search a number
-
+
131122010011 = 2314813849397
BaseRepresentation
bin111101000011101111…
…0110001011110011011
3110112110010012021000011
41322013132301132123
54122014213310021
6140123035422351
712321216460366
oct1720736613633
9415403167004
10131122010011
1150676a57933
12214b45b49b7
13c498490795
1464bc4d70dd
1536265e5de1
hex1e877b179b

131122010011 has 8 divisors (see below), whose sum is σ = 136915388064. Its totient is φ = 125336333760.

The previous prime is 131122009973. The next prime is 131122010069. The reversal of 131122010011 is 110010221131.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131122010011 - 211 = 131122007963 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131122009973 and 131122010000.

It is not an unprimeable number, because it can be changed into a prime (131122050011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1890636 + ... + 1958761.

It is an arithmetic number, because the mean of its divisors is an integer number (17114423508).

Almost surely, 2131122010011 is an apocalyptic number.

131122010011 is a deficient number, since it is larger than the sum of its proper divisors (5793378053).

131122010011 is a wasteful number, since it uses less digits than its factorization.

131122010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850901.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 131122010011 its reverse (110010221131), we get a palindrome (241132231142).

It can be divided in two parts, 1311220 and 10011, that added together give a palindrome (1321231).

The spelling of 131122010011 in words is "one hundred thirty-one billion, one hundred twenty-two million, ten thousand, eleven".

Divisors: 1 23 1481 34063 3849397 88536131 5700956957 131122010011