Search a number
-
+
1031030112 = 25378917239
BaseRepresentation
bin111101011101000…
…100010101100000
32122212001202102110
4331131010111200
54102420430422
6250150315320
734356416460
oct7535042540
92585052373
101031030112
11489a98202
12249358b40
131357b2cb8
149ad07ba0
15607b060c
hex3d744560

1031030112 has 96 divisors (see below), whose sum is σ = 3128025600. Its totient is φ = 291253248.

The previous prime is 1031030087. The next prime is 1031030153. The reversal of 1031030112 is 2110301301.

It is a tau number, because it is divible by the number of its divisors (96).

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51189 + ... + 68427.

It is an arithmetic number, because the mean of its divisors is an integer number (32583600).

Almost surely, 21031030112 is an apocalyptic number.

1031030112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1031030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564012800).

1031030112 is an abundant number, since it is smaller than the sum of its proper divisors (2096995488).

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

1031030112 is a wasteful number, since it uses less digits than its factorization.

1031030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348 (or 17340 counting only the distinct ones).

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

The square root of 1031030112 is about 32109.6576126249. The cubic root of 1031030112 is about 1010.2381923594.

Adding to 1031030112 its reverse (2110301301), we get a palindrome (3141331413).

The spelling of 1031030112 in words is "one billion, thirty-one million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 534 623 672 712 1068 1246 1424 1869 2136 2492 2848 3738 4272 4984 7476 8544 9968 14952 17239 19936 29904 34478 51717 59808 68956 103434 120673 137912 206868 241346 275824 362019 413736 482692 551648 724038 827472 965384 1448076 1534271 1654944 1930768 2896152 3068542 3861536 4602813 5792304 6137084 9205626 10739897 11584608 12274168 18411252 21479794 24548336 32219691 36822504 42959588 49096672 64439382 73645008 85919176 128878764 147290016 171838352 257757528 343676704 515515056 1031030112