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1300220085 = 354119111069
BaseRepresentation
bin100110101111111…
…1100100010110101
310100121121000122110
41031133330202311
510130324020320
6333004121233
744135455053
oct11537744265
93317530573
101300220085
11607a3865a
12303536219
131794b41c8
14c497b1d3
15792355e0
hex4d7fc8b5

1300220085 has 32 divisors (see below), whose sum is σ = 2142443520. Its totient is φ = 672934400.

The previous prime is 1300220081. The next prime is 1300220099. The reversal of 1300220085 is 5800220031.

It is not a de Polignac number, because 1300220085 - 22 = 1300220081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300220081) 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 31 ways as a sum of consecutive naturals, for example, 111931 + ... + 122999.

It is an arithmetic number, because the mean of its divisors is an integer number (66951360).

Almost surely, 21300220085 is an apocalyptic number.

1300220085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300220085 is a deficient number, since it is larger than the sum of its proper divisors (842223435).

1300220085 is a wasteful number, since it uses less digits than its factorization.

1300220085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11309.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1300220085 is about 36058.5646552938. The cubic root of 1300220085 is about 1091.4544691250.

The spelling of 1300220085 in words is "one billion, three hundred million, two hundred twenty thousand, eighty-five".

Divisors: 1 3 5 15 41 123 191 205 573 615 955 2865 7831 11069 23493 33207 39155 55345 117465 166035 453829 1361487 2114179 2269145 6342537 6807435 10570895 31712685 86681339 260044017 433406695 1300220085