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233131212301 = 133106113433
BaseRepresentation
bin1101100100011110110…
…0111111111000001101
3211021202022111122122111
43121013230333320031
512304423042243201
6255033214544021
722562131415461
oct3310754777015
9737668448574
10233131212301
118a963545399
1239223208011
1318ca431a000
14b3d832a4a1
1560e6e0eb51
hex3647b3fe0d

233131212301 has 8 divisors (see below), whose sum is σ = 252549972920. Its totient is φ = 215198040096.

The previous prime is 233131212283. The next prime is 233131212313. The reversal of 233131212301 is 103212131332.

It can be written as a sum of positive squares in 4 ways, for example, as 82237032900 + 150894179401 = 286770^2 + 388451^2 .

It is not a de Polignac number, because 233131212301 - 25 = 233131212269 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233131212001) 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, 53054520 + ... + 53058913.

It is an arithmetic number, because the mean of its divisors is an integer number (31568746615).

Almost surely, 2233131212301 is an apocalyptic number.

It is an amenable number.

233131212301 is a deficient number, since it is larger than the sum of its proper divisors (19418760619).

233131212301 is an equidigital number, since it uses as much as digits as its factorization.

233131212301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106113472 (or 106113446 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 233131212301 its reverse (103212131332), we get a palindrome (336343343633).

The spelling of 233131212301 in words is "two hundred thirty-three billion, one hundred thirty-one million, two hundred twelve thousand, three hundred one".

Divisors: 1 13 169 2197 106113433 1379474629 17933170177 233131212301