Search a number
-
+
133122143121 = 31121013630967
BaseRepresentation
bin111101111111010110…
…0101011001110010001
3110201121111210112211020
41323332230223032101
54140113232034441
6141053325310053
712421614355302
oct1737654531621
9421544715736
10133122143121
1151502a85500
1221972405329
13c7269835b6
14662bdc87a9
1536e1ed2e66
hex1efeb2b391

133122143121 has 24 divisors (see below), whose sum is σ = 197030847552. Its totient is φ = 79881252000.

The previous prime is 133122143069. The next prime is 133122143159. The reversal of 133122143121 is 121341221331.

It is not a de Polignac number, because 133122143121 - 26 = 133122143057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133122143091 and 133122143100.

It is not an unprimeable number, because it can be changed into a prime (133122143171) 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 23 ways as a sum of consecutive naturals, for example, 1778821 + ... + 1852146.

It is an arithmetic number, because the mean of its divisors is an integer number (8209618648).

Almost surely, 2133122143121 is an apocalyptic number.

133122143121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133122143121 is a deficient number, since it is larger than the sum of its proper divisors (63908704431).

133122143121 is a wasteful number, since it uses less digits than its factorization.

133122143121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631093 (or 3631082 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 133122143121 its reverse (121341221331), we get a palindrome (254463364452).

The spelling of 133122143121 in words is "one hundred thirty-three billion, one hundred twenty-two million, one hundred forty-three thousand, one hundred twenty-one".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 36663 3630967 10892901 39940637 119821911 366727667 439347007 1100183001 1318041021 4034004337 12102013011 44374047707 133122143121