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1030313322 = 2321723753101
BaseRepresentation
bin111101011010010…
…101010101101010
32122210201100011200
4331122111111222
54102230011242
6250123105030
734350342633
oct7532252552
92583640150
101030313322
11489648715
12249072176
131355c196c
149ab9c88a
15606bd04c
hex3d69556a

1030313322 has 144 divisors (see below), whose sum is σ = 2505996792. Its totient is φ = 305510400.

The previous prime is 1030313311. The next prime is 1030313327. The reversal of 1030313322 is 2233130301.

1030313322 is a `hidden beast` number, since 1 + 0 + 30 + 313 + 322 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 968392161 + 61921161 = 31119^2 + 7869^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 1030313295 and 1030313304.

It is not an unprimeable number, because it can be changed into a prime (1030313327) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10201072 + ... + 10201172.

Almost surely, 21030313322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1030313322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252998396).

1030313322 is an abundant number, since it is smaller than the sum of its proper divisors (1475683470).

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

1030313322 is a wasteful number, since it uses less digits than its factorization.

1030313322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1030313322 is about 32098.4940768255. The cubic root of 1030313322 is about 1010.0040263866.

Adding to 1030313322 its reverse (2233130301), we get a palindrome (3263443623).

The spelling of 1030313322 in words is "one billion, thirty million, three hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 34 37 51 53 74 101 102 106 111 153 159 202 222 289 303 306 318 333 477 578 606 629 666 867 901 909 954 1258 1717 1734 1802 1818 1887 1961 2601 2703 3434 3737 3774 3922 5151 5202 5353 5406 5661 5883 7474 8109 10302 10693 10706 11211 11322 11766 15317 15453 16059 16218 17649 21386 22422 29189 30634 30906 32079 32118 33337 33633 35298 45951 48177 58378 63529 64158 66674 67266 87567 91001 91902 96237 96354 100011 127058 137853 175134 182002 190587 192474 198061 200022 262701 273003 275706 300033 381174 396122 525402 546006 566729 571761 594183 600066 819009 1079993 1133458 1143522 1188366 1547017 1638018 1700187 1782549 2159986 3094034 3239979 3367037 3400374 3565098 4641051 5100561 6479958 6734074 9282102 9719937 10101111 10201122 13923153 19439874 20202222 27846306 30303333 57239629 60606666 114479258 171718887 343437774 515156661 1030313322