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1300003321 = 3121352761
BaseRepresentation
bin100110101111100…
…0111100111111001
310100121012000022011
41031133013213321
510130300101241
6332555325521
744133563101
oct11537074771
93317160264
101300003321
116078aa811
123034508a1
13179439646
14c4922201
15791e1281
hex4d7c79f9

1300003321 has 6 divisors (see below), whose sum is σ = 1343292666. Its totient is φ = 1258066800.

The previous prime is 1300003303. The next prime is 1300003333. The reversal of 1300003321 is 1233000031.

It can be written as a sum of positive squares in only one way, i.e., 1110555625 + 189447696 = 33325^2 + 13764^2 .

It is a de Polignac number, because none of the positive numbers 2k-1300003321 is a prime.

It is a super-2 number, since 2×13000033212 = 3380017269222058082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300003301) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 675420 + ... + 677341.

It is an arithmetic number, because the mean of its divisors is an integer number (223882111).

Almost surely, 21300003321 is an apocalyptic number.

It is an amenable number.

1300003321 is a deficient number, since it is larger than the sum of its proper divisors (43289345).

1300003321 is an equidigital number, since it uses as much as digits as its factorization.

1300003321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352823 (or 1352792 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 1300003321 is about 36055.5588085943. The cubic root of 1300003321 is about 1091.3938124233.

Adding to 1300003321 its reverse (1233000031), we get a palindrome (2533003352).

The spelling of 1300003321 in words is "one billion, three hundred million, three thousand, three hundred twenty-one".

Divisors: 1 31 961 1352761 41935591 1300003321