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230133264797 is a prime number
BaseRepresentation
bin1101011001010100000…
…0101111000110011101
3211000000101100010210202
43112111000233012131
512232303103433142
6253415522313245
722424626321652
oct3262500570635
9730011303722
10230133264797
1189665257027
12387271b8825
13189171a3a87
14b1d20d9c29
155ebdb24032
hex359502f19d

230133264797 has 2 divisors, whose sum is σ = 230133264798. Its totient is φ = 230133264796.

The previous prime is 230133264649. The next prime is 230133264827. The reversal of 230133264797 is 797462331032.

230133264797 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., 229852166041 + 281098756 = 479429^2 + 16766^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-230133264797 is a prime.

It is a super-2 number, since 2×2301332647972 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230133264997) 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, 115066632398 + 115066632399.

It is an arithmetic number, because the mean of its divisors is an integer number (115066632399).

Almost surely, 2230133264797 is an apocalyptic number.

It is an amenable number.

230133264797 is a deficient number, since it is larger than the sum of its proper divisors (1).

230133264797 is an equidigital number, since it uses as much as digits as its factorization.

230133264797 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1143072, while the sum is 47.

The spelling of 230133264797 in words is "two hundred thirty billion, one hundred thirty-three million, two hundred sixty-four thousand, seven hundred ninety-seven".