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1300780117 = 721314292
BaseRepresentation
bin100110110001000…
…0101010001010101
310100122122110212101
41031202011101111
510130444430432
6333024122101
744143306600
oct11542052125
93318573771
101300780117
1160829039a
12303766331
1317964c0a0
14c4a85337
15792e64e7
hex4d885455

1300780117 has 18 divisors (see below), whose sum is σ = 1630689858. Its totient is φ = 1028468448.

The previous prime is 1300780087. The next prime is 1300780133. The reversal of 1300780117 is 7110870031.

It can be written as a sum of positive squares in 3 ways, for example, as 132917841 + 1167862276 = 11529^2 + 34174^2 .

It is a de Polignac number, because none of the positive numbers 2k-1300780117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300780417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 909559 + ... + 910987.

It is an arithmetic number, because the mean of its divisors is an integer number (90593881).

Almost surely, 21300780117 is an apocalyptic number.

It is an amenable number.

1300780117 is a deficient number, since it is larger than the sum of its proper divisors (329909741).

1300780117 is an frugal number, since it uses more digits than its factorization.

1300780117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 1300780117 is about 36066.3294084663. The cubic root of 1300780117 is about 1091.6111507252.

The spelling of 1300780117 in words is "one billion, three hundred million, seven hundred eighty thousand, one hundred seventeen".

Divisors: 1 7 13 49 91 637 1429 10003 18577 70021 130039 910273 2042041 14294287 26546533 100060009 185825731 1300780117