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233250272401 is a prime number
BaseRepresentation
bin1101100100111011001…
…1001011010010010001
3211022001121112112101211
43121032303023102101
512310144032204101
6255053110500121
722565105413456
oct3311663132221
9738047475354
10233250272401
118aa14774a73
1239257064641
1318cc2ba5183
14b40a07d82d
1561025cbc51
hex364eccb491

233250272401 has 2 divisors, whose sum is σ = 233250272402. Its totient is φ = 233250272400.

The previous prime is 233250272327. The next prime is 233250272407. The reversal of 233250272401 is 104272052332.

233250272401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 209833621776 + 23416650625 = 458076^2 + 153025^2 .

It is a cyclic number.

It is not a de Polignac number, because 233250272401 - 211 = 233250270353 is a prime.

It is not a weakly prime, because it can be changed into another prime (233250272407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116625136200 + 116625136201.

It is an arithmetic number, because the mean of its divisors is an integer number (116625136201).

Almost surely, 2233250272401 is an apocalyptic number.

It is an amenable number.

233250272401 is a deficient number, since it is larger than the sum of its proper divisors (1).

233250272401 is an equidigital number, since it uses as much as digits as its factorization.

233250272401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 31.

The spelling of 233250272401 in words is "two hundred thirty-three billion, two hundred fifty million, two hundred seventy-two thousand, four hundred one".