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2117000114 = 21361777737
BaseRepresentation
bin111111000101110…
…1101101110110010
312110112111202012122
41332023231232302
513313423000424
6550022354242
7103314126665
oct17613555662
95415452178
102117000114
11996a9a579
124b0b8b982
132797909b8
141612336dc
15c5cc445e
hex7e2edbb2

2117000114 has 8 divisors (see below), whose sum is σ = 3177837468. Its totient is φ = 1057720960.

The previous prime is 2117000111. The next prime is 2117000117. The reversal of 2117000114 is 4110007112.

It is an interprime number because it is at equal distance from previous prime (2117000111) and next prime (2117000117).

It can be written as a sum of positive squares in 2 ways, for example, as 1952314225 + 164685889 = 44185^2 + 12833^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 2117000092 and 2117000101.

It is not an unprimeable number, because it can be changed into a prime (2117000111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 386147 + ... + 391590.

Almost surely, 22117000114 is an apocalyptic number.

2117000114 is a deficient number, since it is larger than the sum of its proper divisors (1060837354).

2117000114 is a wasteful number, since it uses less digits than its factorization.

2117000114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779100.

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 2117000114 is about 46010.8695201471. The cubic root of 2117000114 is about 1284.0254363772.

Adding to 2117000114 its reverse (4110007112), we get a palindrome (6227007226).

The spelling of 2117000114 in words is "two billion, one hundred seventeen million, one hundred fourteen", and thus it is an aban number.

Divisors: 1 2 1361 2722 777737 1555474 1058500057 2117000114