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2012031 = 327109293
BaseRepresentation
bin111101011001101111111
310210012222200
413223031333
51003341111
6111042543
723046660
oct7531577
93705880
102012031
11115473a
12810453
13555a68
143a5367
1529b256
hex1eb37f

2012031 has 24 divisors (see below), whose sum is σ = 3363360. Its totient is φ = 1135296.

The previous prime is 2012027. The next prime is 2012033. The reversal of 2012031 is 1302102.

It is a happy number.

It is not a de Polignac number, because 2012031 - 22 = 2012027 is a prime.

It is a super-2 number, since 2×20120312 = 8096537489922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

2012031 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2012033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6721 + ... + 7013.

It is an arithmetic number, because the mean of its divisors is an integer number (140140).

22012031 is an apocalyptic number.

2012031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2012031 is a deficient number, since it is larger than the sum of its proper divisors (1351329).

2012031 is a wasteful number, since it uses less digits than its factorization.

2012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2012031 is about 1418.4607854995. The cubic root of 2012031 is about 126.2442352692.

Adding to 2012031 its reverse (1302102), we get a palindrome (3314133).

The spelling of 2012031 in words is "two million, twelve thousand, thirty-one".

Divisors: 1 3 7 9 21 63 109 293 327 763 879 981 2051 2289 2637 6153 6867 18459 31937 95811 223559 287433 670677 2012031