Search a number
-
+
31011300112 = 24134711932659
BaseRepresentation
bin11100111000011010…
…101110001100010000
32222001020020021022211
4130320122232030100
51002002343100422
622125115441504
72145326462452
oct347032561420
988036207284
1031011300112
1112174085851
126015756294
132c02a5a830
1417028982d2
15c177dd577
hex7386ae310

31011300112 has 80 divisors (see below), whose sum is σ = 66163265280. Its totient is φ = 13991371776.

The previous prime is 31011300107. The next prime is 31011300143. The reversal of 31011300112 is 21100311013.

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 = 31011300092 and 31011300101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11661439 + ... + 11664097.

It is an arithmetic number, because the mean of its divisors is an integer number (827040816).

Almost surely, 231011300112 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 31011300112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33081632640).

31011300112 is an abundant number, since it is smaller than the sum of its proper divisors (35151965168).

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

31011300112 is a wasteful number, since it uses less digits than its factorization.

31011300112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 31011300112 its reverse (21100311013), we get a palindrome (52111611125).

The spelling of 31011300112 in words is "thirty-one billion, eleven million, three hundred thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 611 752 1193 1222 2386 2444 2659 4772 4888 5318 9544 9776 10636 15509 19088 21272 31018 34567 42544 56071 62036 69134 112142 124072 124973 138268 224284 248144 249946 276536 448568 499892 553072 728923 897136 999784 1457846 1624649 1999568 2915692 3172187 3249298 5831384 6344374 6498596 11662768 12688748 12997192 25377496 25994384 41238431 50754992 82476862 149092789 164953724 298185578 329907448 596371156 659814896 1192742312 1938206257 2385484624 3876412514 7752825028 15505650056 31011300112