Search a number
-
+
233121031313 is a prime number
BaseRepresentation
bin1101100100011100011…
…0001010010010010001
3211021201121100101221212
43121013012022102101
512304412441000223
6255032212425505
722561646033342
oct3310706122221
9737647311855
10233121031313
118a958821255
123921b918295
1318ca2193c61
14b3d6c3a0c9
1560e609d278
hex364718a491

233121031313 has 2 divisors, whose sum is σ = 233121031314. Its totient is φ = 233121031312.

The previous prime is 233121031307. The next prime is 233121031327. The reversal of 233121031313 is 313130121332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232162076224 + 958955089 = 481832^2 + 30967^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-233121031313 is a prime.

It is not a weakly prime, because it can be changed into another prime (233121031343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116560515656 + 116560515657.

It is an arithmetic number, because the mean of its divisors is an integer number (116560515657).

Almost surely, 2233121031313 is an apocalyptic number.

It is an amenable number.

233121031313 is a deficient number, since it is larger than the sum of its proper divisors (1).

233121031313 is an equidigital number, since it uses as much as digits as its factorization.

233121031313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 233121031313 its reverse (313130121332), we get a palindrome (546251152645).

The spelling of 233121031313 in words is "two hundred thirty-three billion, one hundred twenty-one million, thirty-one thousand, three hundred thirteen".