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1300117819 = 711131298819
BaseRepresentation
bin100110101111110…
…0011100100111011
310100121101211100211
41031133203210323
510130312232234
6333002011551
744134550650
oct11537434473
93317354324
101300117819
11607978840
123034a6bb7
131794797b0
14c4951c27
1579215164
hex4d7e393b

1300117819 has 16 divisors (see below), whose sum is σ = 1745614080. Its totient is φ = 935148960.

The previous prime is 1300117813. The next prime is 1300117853. The reversal of 1300117819 is 9187110031.

It is a cyclic number.

It is not a de Polignac number, because 1300117819 - 23 = 1300117811 is a prime.

It is a super-2 number, since 2×13001178192 = 3380612686562633522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1300117811) 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 in 15 ways as a sum of consecutive naturals, for example, 648409 + ... + 650410.

It is an arithmetic number, because the mean of its divisors is an integer number (109100880).

Almost surely, 21300117819 is an apocalyptic number.

1300117819 is a deficient number, since it is larger than the sum of its proper divisors (445496261).

1300117819 is a wasteful number, since it uses less digits than its factorization.

1300117819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298850.

The product of its (nonzero) digits is 1512, while the sum is 31.

The square root of 1300117819 is about 36057.1465731830. The cubic root of 1300117819 is about 1091.4258530441.

The spelling of 1300117819 in words is "one billion, three hundred million, one hundred seventeen thousand, eight hundred nineteen".

Divisors: 1 7 11 13 77 91 143 1001 1298819 9091733 14287009 16884647 100009063 118192529 185731117 1300117819