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1300003357 is a prime number
BaseRepresentation
bin100110101111100…
…0111101000011101
310100121012000100111
41031133013220131
510130300101412
6332555330021
744133563152
oct11537075035
93317160314
101300003357
116078aa844
12303450911
13179439673
14c4922229
15791e12a7
hex4d7c7a1d

1300003357 has 2 divisors, whose sum is σ = 1300003358. Its totient is φ = 1300003356.

The previous prime is 1300003339. The next prime is 1300003361. The reversal of 1300003357 is 7533000031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1092038116 + 207965241 = 33046^2 + 14421^2 .

It is a cyclic number.

It is not a de Polignac number, because 1300003357 - 215 = 1299970589 is a prime.

It is a super-2 number, since 2×13000033572 = 3380017456422538898, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1300003457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 650001678 + 650001679.

It is an arithmetic number, because the mean of its divisors is an integer number (650001679).

Almost surely, 21300003357 is an apocalyptic number.

It is an amenable number.

1300003357 is a deficient number, since it is larger than the sum of its proper divisors (1).

1300003357 is an equidigital number, since it uses as much as digits as its factorization.

1300003357 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 945, while the sum is 22.

The square root of 1300003357 is about 36055.5593078238. The cubic root of 1300003357 is about 1091.3938224977.

Adding to 1300003357 its reverse (7533000031), we get a palindrome (8833003388).

The spelling of 1300003357 in words is "one billion, three hundred million, three thousand, three hundred fifty-seven".