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1071117385 = 513171098893
BaseRepresentation
bin111111110101111…
…111010001001001
32202122111101211021
4333311333101021
54143201224020
6254141432441
735354230132
oct7765772111
92678441737
101071117385
114aa688388
1225a86b721
13140baa490
14a2380c89
156407d1aa
hex3fd7f449

1071117385 has 32 divisors (see below), whose sum is σ = 1479250080. Its totient is φ = 737538048.

The previous prime is 1071117373. The next prime is 1071117389. The reversal of 1071117385 is 5837111701.

It can be written as a sum of positive squares in 16 ways, for example, as 355661881 + 715455504 = 18859^2 + 26748^2 .

It is not a de Polignac number, because 1071117385 - 25 = 1071117353 is a prime.

It is a super-2 number, since 2×10711173852 = 2294584904898476450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1071117385.

It is not an unprimeable number, because it can be changed into a prime (1071117389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115999 + ... + 124891.

It is an arithmetic number, because the mean of its divisors is an integer number (46226565).

Almost surely, 21071117385 is an apocalyptic number.

It is an amenable number.

1071117385 is a deficient number, since it is larger than the sum of its proper divisors (408132695).

1071117385 is a wasteful number, since it uses less digits than its factorization.

1071117385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9037.

The product of its (nonzero) digits is 5880, while the sum is 34.

The square root of 1071117385 is about 32727.9297389859. The cubic root of 1071117385 is about 1023.1650326648.

The spelling of 1071117385 in words is "one billion, seventy-one million, one hundred seventeen thousand, three hundred eighty-five".

Divisors: 1 5 13 17 65 85 109 221 545 1105 1417 1853 7085 8893 9265 24089 44465 115609 120445 151181 578045 755905 969337 1965353 4846685 9826765 12601381 16478729 63006905 82393645 214223477 1071117385