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131033212333 = 532101346049
BaseRepresentation
bin111101000001000110…
…0000010010110101101
3110112012221002212111021
41322002030002112231
54121324000243313
6140110144254141
712316060633132
oct1720214022655
9415187085437
10131033212333
1150630917921
122148a911351
13c482c6cb8a
1464b07c0589
15361d90578d
hex1e823025ad

131033212333 has 12 divisors (see below), whose sum is σ = 133686926100. Its totient is φ = 128431187456.

The previous prime is 131033212313. The next prime is 131033212337. The reversal of 131033212333 is 333212330131.

It can be written as a sum of positive squares in 6 ways, for example, as 27762890884 + 103270321449 = 166622^2 + 321357^2 .

It is a de Polignac number, because none of the positive numbers 2k-131033212333 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131033212298 and 131033212307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131033212337) 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, 2822493 + ... + 2868541.

It is an arithmetic number, because the mean of its divisors is an integer number (11140577175).

Almost surely, 2131033212333 is an apocalyptic number.

It is an amenable number.

131033212333 is a deficient number, since it is larger than the sum of its proper divisors (2653713767).

131033212333 is an equidigital number, since it uses as much as digits as its factorization.

131033212333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47168 (or 47115 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 131033212333 its reverse (333212330131), we get a palindrome (464245542464).

The spelling of 131033212333 in words is "one hundred thirty-one billion, thirty-three million, two hundred twelve thousand, three hundred thirty-three".

Divisors: 1 53 1013 2809 46049 53689 2440597 2845517 46647637 129351641 2472324761 131033212333