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131122323333 = 32110913137193
BaseRepresentation
bin111101000011101111…
…1111101111110000101
3110112110010210011210200
41322013133331332011
54122014303321313
6140123050241113
712321222234021
oct1720737757605
9415403704720
10131122323333
1150677151281
12214b4726199
13c498570291
1464bc579381
153626658b73
hex1e877fdf85

131122323333 has 12 divisors (see below), whose sum is σ = 189569709420. Its totient is φ = 87336052416.

The previous prime is 131122323329. The next prime is 131122323379. The reversal of 131122323333 is 333323221131.

131122323333 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 2 + 323 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1740391524 + 129381931809 = 41718^2 + 359697^2 .

It is not a de Polignac number, because 131122323333 - 22 = 131122323329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131122323297 and 131122323306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122323323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6558616 + ... + 6578577.

It is an arithmetic number, because the mean of its divisors is an integer number (15797475785).

Almost surely, 2131122323333 is an apocalyptic number.

It is an amenable number.

131122323333 is a deficient number, since it is larger than the sum of its proper divisors (58447386087).

131122323333 is a wasteful number, since it uses less digits than its factorization.

131122323333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13138308 (or 13138305 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 131122323333 its reverse (333323221131), we get a palindrome (464445544464).

The spelling of 131122323333 in words is "one hundred thirty-one billion, one hundred twenty-two million, three hundred twenty-three thousand, three hundred thirty-three".

Divisors: 1 3 9 1109 3327 9981 13137193 39411579 118234737 14569147037 43707441111 131122323333