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31109022 = 234723919
BaseRepresentation
bin111011010101…
…0111110011110
32011112111120000
41312222332132
530430442042
63030435130
7525264600
oct166527636
964474500
1031109022
111661873a
12a502aa6
1365a2a09
1441bb170
152ae774c
hex1daaf9e

31109022 has 60 divisors (see below), whose sum is σ = 81108720. Its totient is φ = 8886024.

The previous prime is 31109017. The next prime is 31109047. The reversal of 31109022 is 22090113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31108986 and 31109004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5979 + ... + 9897.

It is an arithmetic number, because the mean of its divisors is an integer number (1351812).

Almost surely, 231109022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31109022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40554360).

31109022 is an abundant number, since it is smaller than the sum of its proper divisors (49999698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31109022 is a wasteful number, since it uses less digits than its factorization.

31109022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 31109022 is about 5577.5462346806. The cubic root of 31109022 is about 314.5058920157.

Adding to 31109022 its reverse (22090113), we get a palindrome (53199135).

The spelling of 31109022 in words is "thirty-one million, one hundred nine thousand, twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3919 3969 7838 7938 11757 23514 27433 35271 54866 70542 82299 105813 164598 192031 211626 246897 317439 384062 493794 576093 634878 740691 1152186 1481382 1728279 2222073 3456558 4444146 5184837 10369674 15554511 31109022