Search a number
-
+
1030311312 = 243232114423
BaseRepresentation
bin111101011010010…
…100110110010000
32122210201020102020
4331122110312100
54102224430222
6250123051440
734350334032
oct7532246620
92583636366
101030311312
11489647158
12249070b80
131355c0a84
149ab9bc52
15606bc65c
hex3d694d90

1030311312 has 80 divisors (see below), whose sum is σ = 2791154688. Its totient is φ = 326874240.

The previous prime is 1030311241. The next prime is 1030311329. The reversal of 1030311312 is 2131130301.

1030311312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10303113122 = 2123082799270322688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1030311291 and 1030311300.

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, 230733 + ... + 235155.

Almost surely, 21030311312 is an apocalyptic number.

1030311312 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 1030311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395577344).

1030311312 is an abundant number, since it is smaller than the sum of its proper divisors (1760843376).

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

1030311312 is a wasteful number, since it uses less digits than its factorization.

1030311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4668 (or 4662 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1030311312 is about 32098.4627669301. The cubic root of 1030311312 is about 1010.0033695930.

Adding to 1030311312 its reverse (2131130301), we get a palindrome (3161441613).

The spelling of 1030311312 in words is "one billion, thirty million, three hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 211 276 368 422 552 633 844 1104 1266 1688 2532 3376 4423 4853 5064 8846 9706 10128 13269 14559 17692 19412 26538 29118 35384 38824 53076 58236 70768 77648 101729 106152 116472 203458 212304 232944 305187 406916 610374 813832 933253 1220748 1627664 1866506 2441496 2799759 3733012 4882992 5599518 7466024 11199036 14932048 21464819 22398072 42929638 44796144 64394457 85859276 128788914 171718552 257577828 343437104 515155656 1030311312