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2117031 = 37100811
BaseRepresentation
bin1000000100110110100111
310222120000120
420010312213
51020221111
6113213023
723665050
oct10046647
93876016
102117031
111216614
12861173
135917a7
143d1727
152bc406
hex204da7

2117031 has 8 divisors (see below), whose sum is σ = 3225984. Its totient is φ = 1209720.

The previous prime is 2116997. The next prime is 2117039. The reversal of 2117031 is 1307112.

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

It is not a de Polignac number, because 2117031 - 26 = 2116967 is a prime.

It is a super-2 number, since 2×21170312 = 8963640509922, which contains 22 as substring.

2117031 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2117031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2117039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50385 + ... + 50426.

It is an arithmetic number, because the mean of its divisors is an integer number (403248).

22117031 is an apocalyptic number.

2117031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2117031 is a deficient number, since it is larger than the sum of its proper divisors (1108953).

2117031 is a wasteful number, since it uses less digits than its factorization.

2117031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100821.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 2117031 is about 1455.0020618542. The cubic root of 2117031 is about 128.4031680782.

The spelling of 2117031 in words is "two million, one hundred seventeen thousand, thirty-one".

Divisors: 1 3 7 21 100811 302433 705677 2117031