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1000207117 = 71359241773
BaseRepresentation
bin111011100111011…
…111001100001101
32120201001210020001
4323213133030031
54022023111432
6243125524301
733533422510
oct7347371415
92521053201
101000207117
11473655458
1223ab73691
1312c2b0540
1496ba2d77
155cc229e7
hex3b9df30d

1000207117 has 32 divisors (see below), whose sum is σ = 1258709760. Its totient is φ = 773729280.

The previous prime is 1000207093. The next prime is 1000207163. The reversal of 1000207117 is 7117020001.

It is a cyclic number.

It is not a de Polignac number, because 1000207117 - 27 = 1000206989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1000207094 and 1000207103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000208117) 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, 1293543 + ... + 1294315.

It is an arithmetic number, because the mean of its divisors is an integer number (39334680).

Almost surely, 21000207117 is an apocalyptic number.

It is an amenable number.

1000207117 is a deficient number, since it is larger than the sum of its proper divisors (258502643).

1000207117 is a wasteful number, since it uses less digits than its factorization.

1000207117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093.

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 1000207117 is about 31626.0512394450. The cubic root of 1000207117 is about 1000.0690342342.

Adding to 1000207117 its reverse (7117020001), we get a palindrome (8117227118).

The spelling of 1000207117 in words is "one billion, two hundred seven thousand, one hundred seventeen".

Divisors: 1 7 13 59 91 241 413 767 773 1687 3133 5369 5411 10049 14219 21931 45607 70343 99533 184847 186293 319249 592891 1293929 1304051 2421809 4150237 10991287 16952663 76939009 142886731 1000207117