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200031 = 31323223
BaseRepresentation
bin110000110101011111
3101011101120
4300311133
522400111
64142023
71462116
oct606537
9334346
10200031
11127317
1297913
1370080
1452c7d
153e406
hex30d5f

200031 has 16 divisors (see below), whose sum is σ = 301056. Its totient is φ = 117216.

The previous prime is 200029. The next prime is 200033. The reversal of 200031 is 130002.

Adding to 200031 its reverse (130002), we get a palindrome (330033).

It is an interprime number because it is at equal distance from previous prime (200029) and next prime (200033).

It is not a de Polignac number, because 200031 - 21 = 200029 is a prime.

It is a super-2 number, since 2×2000312 = 80024801922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 199992 and 200019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 786 + ... + 1008.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2200031 is an apocalyptic number.

200031 is a deficient number, since it is larger than the sum of its proper divisors (101025).

200031 is a wasteful number, since it uses less digits than its factorization.

200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 200031 is about 447.2482532107. The cubic root of 200031 is about 58.4833760932.

The spelling of 200031 in words is "two hundred thousand, thirty-one".

Divisors: 1 3 13 23 39 69 223 299 669 897 2899 5129 8697 15387 66677 200031