Search a number
-
+
31301112 = 23337101349
BaseRepresentation
bin111011101100…
…1110111111000
32011220021001110
41313121313320
531003113422
63034520320
7530024613
oct167316770
964807043
1031301112
1116739a97
12a5960a0
13663c28b
14422b17a
152b3460c
hex1dd9df8

31301112 has 64 divisors (see below), whose sum is σ = 81396000. Its totient is φ = 10022400.

The previous prime is 31301099. The next prime is 31301141. The reversal of 31301112 is 21110313.

It is a super-2 number, since 2×313011122 = 1959519224873088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 15 ways as a sum of consecutive naturals, for example, 89514 + ... + 89862.

Almost surely, 231301112 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 31301112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40698000).

31301112 is an abundant number, since it is smaller than the sum of its proper divisors (50094888).

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

31301112 is a wasteful number, since it uses less digits than its factorization.

31301112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 31301112 is about 5594.7396722278. The cubic root of 31301112 is about 315.1518944940.

Adding to 31301112 its reverse (21110313), we get a palindrome (52411425).

It can be divided in two parts, 31301 and 112, that added together give a palindrome (31413).

The spelling of 31301112 in words is "thirty-one million, three hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 37 74 101 111 148 202 222 296 303 349 404 444 606 698 808 888 1047 1212 1396 2094 2424 2792 3737 4188 7474 8376 11211 12913 14948 22422 25826 29896 35249 38739 44844 51652 70498 77478 89688 103304 105747 140996 154956 211494 281992 309912 422988 845976 1304213 2608426 3912639 5216852 7825278 10433704 15650556 31301112