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2042117 = 71122411
BaseRepresentation
bin111110010100100000101
310211202020222
413302210011
51010321432
6111434125
723233460
oct7624405
93752228
102042117
111175300
12825945
1356666c
143b22d7
152a5112
hex1f2905

2042117 has 12 divisors (see below), whose sum is σ = 2566368. Its totient is φ = 1590600.

The previous prime is 2042111. The next prime is 2042123. The reversal of 2042117 is 7112402.

It is an interprime number because it is at equal distance from previous prime (2042111) and next prime (2042123).

It is not a de Polignac number, because 2042117 - 212 = 2038021 is a prime.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 2042095 and 2042104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 359 + ... + 2052.

It is an arithmetic number, because the mean of its divisors is an integer number (213864).

22042117 is an apocalyptic number.

It is an amenable number.

2042117 is a deficient number, since it is larger than the sum of its proper divisors (524251).

2042117 is a wasteful number, since it uses less digits than its factorization.

2042117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 2042117 is about 1429.0265917750. The cubic root of 2042117 is about 126.8703701385.

Adding to 2042117 its reverse (7112402), we get a palindrome (9154519).

The spelling of 2042117 in words is "two million, forty-two thousand, one hundred seventeen".

Divisors: 1 7 11 77 121 847 2411 16877 26521 185647 291731 2042117