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131122440333 = 3326561182839
BaseRepresentation
bin111101000011110000…
…0011010100010001101
3110112110011000010022000
41322013200122202031
54122014321042313
6140123052542513
712321223232103
oct1720740324215
9415404003260
10131122440333
1150677221175
12214b4781a39
13c4985b1601
1464bc5a9c73
15362667d673
hex1e8781a88d

131122440333 has 16 divisors (see below), whose sum is σ = 194263843200. Its totient is φ = 87411191040.

The previous prime is 131122440331. The next prime is 131122440347. The reversal of 131122440333 is 333044221131.

It is a happy number.

131122440333 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 224 + 403 + 33 = 666.

It is not a de Polignac number, because 131122440333 - 21 = 131122440331 is a prime.

It is a super-2 number, since 2×1311224403332 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131122440297 and 131122440306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122440331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625728 + ... + 808566.

It is an arithmetic number, because the mean of its divisors is an integer number (12141490200).

Almost surely, 2131122440333 is an apocalyptic number.

It is an amenable number.

131122440333 is a deficient number, since it is larger than the sum of its proper divisors (63141402867).

131122440333 is a wasteful number, since it uses less digits than its factorization.

131122440333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209409 (or 209403 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 131122440333 its reverse (333044221131), we get a palindrome (464166661464).

The spelling of 131122440333 in words is "one hundred thirty-one billion, one hundred twenty-two million, four hundred forty thousand, three hundred thirty-three".

Divisors: 1 3 9 27 26561 79683 182839 239049 548517 717147 1645551 4936653 4856386679 14569160037 43707480111 131122440333