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34131031 = 1131101991
BaseRepresentation
bin1000001000110…
…0110001010111
32101020000222021
42002030301113
532214143111
63215314011
7563052244
oct202146127
971200867
1034131031
11182a2170
12b51b907
1370c039c
1447665cb
152ee2d71
hex208cc57

34131031 has 16 divisors (see below), whose sum is σ = 38854656. Its totient is φ = 29700000.

The previous prime is 34131029. The next prime is 34131037. The reversal of 34131031 is 13013143.

It is not a de Polignac number, because 34131031 - 21 = 34131029 is a prime.

It is a super-2 number, since 2×341310312 = 2329854554245922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34130996 and 34131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131037) 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, 33946 + ... + 34936.

It is an arithmetic number, because the mean of its divisors is an integer number (2428416).

Almost surely, 234131031 is an apocalyptic number.

34131031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

34131031 is a deficient number, since it is larger than the sum of its proper divisors (4723625).

34131031 is a wasteful number, since it uses less digits than its factorization.

34131031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 34131031 is about 5842.1769059144. The cubic root of 34131031 is about 324.3768129039.

Adding to 34131031 its reverse (13013143), we get a palindrome (47144174).

It can be divided in two parts, 3413 and 1031, that added together give a palindrome (4444).

The spelling of 34131031 in words is "thirty-four million, one hundred thirty-one thousand, thirty-one".

Divisors: 1 11 31 101 341 991 1111 3131 10901 30721 34441 100091 337931 1101001 3102821 34131031