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1300421993 = 13109917729
BaseRepresentation
bin100110110000010…
…1101110101101001
310100121222021121112
41031200231311221
510130402000433
6333012320105
744140255523
oct11540556551
93317867545
101300421993
11608066322
12303613035
13179555090
14c49d0a13
1579275348
hex4d82dd69

1300421993 has 8 divisors (see below), whose sum is σ = 1413304200. Its totient is φ = 1189375488.

The previous prime is 1300421989. The next prime is 1300421999. The reversal of 1300421993 is 3991240031.

It can be written as a sum of positive squares in 4 ways, for example, as 15342889 + 1285079104 = 3917^2 + 35848^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1300421993 - 22 = 1300421989 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1300421999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457448 + ... + 460281.

It is an arithmetic number, because the mean of its divisors is an integer number (176663025).

Almost surely, 21300421993 is an apocalyptic number.

1300421993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1300421993 is a deficient number, since it is larger than the sum of its proper divisors (112882207).

1300421993 is a wasteful number, since it uses less digits than its factorization.

1300421993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917851.

The product of its (nonzero) digits is 5832, while the sum is 32.

The square root of 1300421993 is about 36061.3642698110. The cubic root of 1300421993 is about 1091.5109626333.

The spelling of 1300421993 in words is "one billion, three hundred million, four hundred twenty-one thousand, nine hundred ninety-three".

Divisors: 1 13 109 1417 917729 11930477 100032461 1300421993