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31010512 = 2413295397
BaseRepresentation
bin111011001001…
…0111011010000
32011100111102111
41312102323100
530414314022
63024355104
7524404441
oct166227320
964314374
1031010512
1116560725
12a475a94
136569c20
1441932c8
152ac8477
hex1d92ed0

31010512 has 80 divisors (see below), whose sum is σ = 68901840. Its totient is φ = 13418496.

The previous prime is 31010503. The next prime is 31010531. The reversal of 31010512 is 21501013.

It can be written as a sum of positive squares in 8 ways, for example, as 274576 + 30735936 = 524^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 31010492 and 31010501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319648 + ... + 319744.

It is an arithmetic number, because the mean of its divisors is an integer number (861273).

Almost surely, 231010512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31010512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34450920).

31010512 is an abundant number, since it is smaller than the sum of its proper divisors (37891328).

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

31010512 is a wasteful number, since it uses less digits than its factorization.

31010512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 31010512 is about 5568.7082882837. The cubic root of 31010512 is about 314.1735689612.

Adding to 31010512 its reverse (21501013), we get a palindrome (52511525).

The spelling of 31010512 in words is "thirty-one million, ten thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 29 52 53 58 97 104 106 116 194 208 212 232 377 388 424 464 689 754 776 848 1261 1378 1508 1537 1552 2522 2756 2813 3016 3074 5044 5141 5512 5626 6032 6148 10088 10282 11024 11252 12296 19981 20176 20564 22504 24592 36569 39962 41128 45008 66833 73138 79924 82256 133666 146276 149089 159848 267332 292552 298178 319696 534664 585104 596356 1069328 1192712 1938157 2385424 3876314 7752628 15505256 31010512